SOLUTION: Lauren is planning to raise her batting average. When she set up her weekly practice schedule, her batting average was 250. Lauren intends to increase her batting average by 5 each

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Question 1130236: Lauren is planning to raise her batting average. When she set up her weekly practice schedule, her batting average was 250. Lauren intends to increase her batting average by 5 each week. Find a pattern and write a formula that will give her expected batting average after n weeks.
a1 =
d=
Using the formula, how many weeks will Lauren need to practice if she expects to earn a batting average of 300?
Found 3 solutions by mananth, ikleyn, n2:
Answer by mananth(16949) About Me  (Show Source):
You can put this solution on YOUR website!
Lauren is planning to raise her batting average. When she set up her weekly practice schedule, her batting average was 250. Lauren intends to increase her batting average by 5 each week. Find a pattern and write a formula that will give her expected batting average after n weeks.
a1 =
d=
Using the formula, how many weeks will Lauren need to practice if she expects to earn a batting average of 300?
She starts her batting average with 250
She increases it by 5 every week
So we use the formula for arithmetic sequence
We can calculate average by the formula
tn= a+(n-1)d
Expected batting average = 350
a= 250, d=5 and n=? , tn= 350
350 = 250+(n-1)*5
350-250 = (n-1)*5
100/5 = n-1
20 =n-1
n=21
Lauren's expected batting average would be 350 after 21 weeks



Answer by ikleyn(53619) About Me  (Show Source):
You can put this solution on YOUR website!
.
Lauren is planning to raise her batting average. When she set up her weekly practice schedule,
her batting average was 250. Lauren intends to increase her batting average by 5 each week.
Find a pattern and write a formula that will give her expected batting average after n weeks.
a1 =
d=
Using the formula, how many weeks will Lauren need to practice if she expects to earn a batting average of 300?
~~~~~~~~~~~~~~~~~~~~~~


In his post, @mananth produced wrong answer   (21  weeks).


The correct answer to the posed question is   %28300-250%29%2F5 = 50%2F5 = 10 weeks,

based on common sense and without blowing the theorizing bubble,   but not  21  weeks.


/\/\/\/\/\/\/\/\/\/\/\/\/


@mananth, theorizing is good, but at the end you should   highlight%28highlight%28CHECK%29%29   
if it withstands the critics of the common sense.

Without making check,  NOTHING  prevents you of making errors.



Answer by n2(54) About Me  (Show Source):
You can put this solution on YOUR website!
.

Starting from November 2025 and during December 2025 I worked on checking solutions
provided by @mananth at this forum www.algebra.com .

For now, Jan.06, 2026, I reviewed/checked about 2*17*31 = 1054 problems, solved
by @mananth at this web-site (problems from 2390..9419 to 10320..10349 inclusively
of the list https://www.algebra.com/tutors/your-answers.mpl?userid=mananth ).

Of them, I found about 99 problems solved incorrectly.
Below is the list of these problems, solved incorrectly.
For each of these problems, my correct solution is placed at the same spot/link.

I started this my checking job from some of the problems, and after checking approximately 70 problems,
I started noticing the repeating patterns in problems and in their solutions.
Quite often, these solutions were incorrect, and the errors were of the kind a live person would not
make them. It led me to the idea that the solution were actually produced not by a living person,
but by a computer code, instead. So, it was a very early version of the Artificial Intelligence.

After getting this observation, two ideas led me.

First idea was, of course, to clean this forum from erroneous solutions.
Second idea was to learn how far this artificial intelligence may lead in producing wrong and right solution.
So, this file is my report on this issue.

I collected here only wrong solutions (wrong from a Math point of view).
There were also cases, when the solutions were led to correct answers, but were wrong
from an educative/pedagogical point of view. Then suggestions "wrong/correct" become more individualized/personalized,
and I did not include such cases in this my file. So, only incorrect solutions are collected/listed here.

From about 1000 reviewed problems, the number of incorrectly solved is about 100 (for now).
In other words, about 10% of all problems were solved incorrectly by @mananth (by his version of AI). 

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https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.430019.html


430373
Can anyone help me with the following?
If you deposit $2500 in an account paying 4.5% interest compounded semiannually, how much will be in the account after 8 years? (Round to the nearest cent)
Thank you!!

https://www.algebra.com/algebra/homework/Finance/Finance.faq.question.430373.html


418623
If the sum of the lengths of the edges of a cube is 48 inches, the volume of the cube is?

https://www.algebra.com/algebra/homework/word/geometry/Geometry_Word_Problems.faq.question.418623.html


419077
Dave Horn invested half of his money at 5%, one-third of his money at4%, and the rest at 3.5%. 
If his total annual investment income is $530, how much had he invested?

https://www.algebra.com/algebra/homework/word/finance/Money_Word_Problems.faq.question.419077.html


419129 
A glue company needs to make some glue tat it can sell at $120 per barrel. It wants to use 150 barrels of glue 
worth $100 per barrel, along with glue worth $150 per barrel and glue worth $190 per barrel. It must use 
the same number of barrels of $150 and $190 glue. How much of the $150 and $190 glue will be needed?
How many Barrels of $120 glue will be produced?

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.419129.html


419040 
The current of a river is 2 miles per hour. A boat travels to a point 8 miles upstream and back again in 3 hours.
What is the speed of the boat in still water?

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.419040.html


419037
The speed of a boat in still water is 5 miles per hour. If the boat travels 3 miles downstream in the same amount 
of time it takes to travel 1.5 miles upstream, what is the speed of the current?

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.419037.html


419685
Hi tutor, i do not get this question what so ever. It his a problem solving, algebraic question. I really need help. 
It would be greatly appreciated, thank you so much, may god bless you. Q : 500 tickets for a football game were sold 
and the total receipts were $105. Some of the tickets sold for $15 and the rest sold for 25cents. Find the number 
of each sold. ( i am required too provide a equation/formula , write a table i already have that set up : i have it as ticket 1 & ticket two & value, number and amount. & i also would greatly appreciate if you show the work as too how you got the answers, so i can learn from it. Thank you so much.

https://www.algebra.com/algebra/homework/word/coins/Word_Problems_With_Coins.faq.question.419685.html


420019
what is the slope-intercept form that contains the points (3,7) and (3,5)

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.420019.html


420867 
If I have a 20 qt radiator containing a 80% antifreeze solution. How much of the solution should I drain 
and replace with pure water to get a solution that is 50% antifreeze?

https://www.algebra.com/algebra/homework/word/evaluation/Evaluation_Word_Problems.faq.question.420867.html


421830     (90)
-4x-2y=-8 y=-2x+4

algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.421830.html


421840
Solve each system of equations using the substitution method.
4x - y = 32y = -2 x + 70

https://www.algebra.com/algebra/homework/Matrices-and-determiminant/Matrices-and-determiminant.faq.question.421840.html


422281
I'm trying to solve when a man knows he has lost 12.4 percent of his weight, and now weighs 249.6. 
What was his starting weight?

https://www.algebra.com/algebra/homework/proportions/Proportions.faq.question.422281.html


423336 
A liter of orange fruit drink contains 22% orange juice. How many millimeters of orange juice must be added 
to produce a mixture containing 50% orange juice?

https://www.algebra.com/algebra/homework/percentage/percentage.faq.question.423336.html


423677
what is the equation of a line that passes through (-5, 1) and is parallel to y = x + 4 ?
please show steps to help me understand

https://www.algebra.com/algebra/homework/Linear-equations/Linear-equations.faq.question.423677.html


423206 
solving linear systems using substitution, what is
4x-7y=10
y=x-7

https://www.algebra.com/algebra/homework/Systems-of-equations/Systems-of-equations.faq.question.423206.html


423288
An airplane flew for 3 hours with a tail wind of 18 kilometers per hour. The return flight against the wind took 4 hours. Find the rate of the plane in still air.

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.423288.html


424727 
Children's tickets to a movie cost $4. Adult tickets cost $7. If 275 tickets were sold for a total cost of $1174, 
how many of each type were sold?

https://www.algebra.com/algebra/homework/coordinate/word/Linear_Equations_And_Systems_Word_Problems.faq.question.424727.html


426400
It takes a freight train 3 hours more to travel 280 miles than it takes an express train to travel 200 miles. 
The rate of the express is 10 miles per hour faster the the rate of the freight train. Fine the rates of both trains.

https://www.algebra.com/algebra/homework/word/travel/Travel_Word_Problems.faq.question.426400.html


425874    (99)
a lion devours a sheep in 4 hours. a leopard devours a sheep in 5 hours. a bear devours a sheep in 6 hours. 
how long will it take the three animals eating simultaneously to consume a single sheep?

https://www.algebra.com/algebra/homework/word/misc/Miscellaneous_Word_Problems.faq.question.425874.html


/\/\/\/\/\/\/\/\/\/\/\/


You may ask me - ok, @mananth is a computer code, or AI - what does it change ?

Ok, below are my thoughts and my suggestions about it. 


(1)  First, 10% wrong solutions is too much for an AI.
     You may say "ok, in 20 years it will be perfect".
     Probably, it can be true, but I tell you about what I see now.

     By the way, my feeling is that good AI acceptable level for wrong solutions
     should be at most 1:1000, or 0.1%.



(2)  Second, it can be perfect in 20 years under one necessary condition: 
     the best minds in Math solving and writing and the best computer programming specialists 
     will work on it starting from now and during 20 years.


     What does it mean and why ? - Raising and educating a specialist in solving Math, writing Math 
     and explaining Math takes 10 - 15 - 20 years to get a professional level, when a person can speak, 
     write and teach professionally. (And, usually, the fingers of one hand are enough 
     to count such specialists of a national level in each country and in each generation).


     If you make such experiments with the novices, it will take 10-15-20 years for them to get a professional 
     level before they will learn to speak/write at the professional level, so it is a WRONG way to assign 
     novices for key positions for such an activity.


     It is the second conclusion from my arguments: the writers and the content creators must be professionals
     from the very beginning. Neither @mananth, nor @CPhill are such professionals.



(3)  Third, the computer codes which I see in the posts by @CPhill or @mananth, have no that level of flexibility
     to serve at the adequate level.  So, the level of the computer coders must be at least one order (one level) higher.



(4)  Fourth, the writing, coding and programming discipline must be changed.

     For now, the AI codes for solving school Math problems that I saw so far, do not show a tendency 
     to make checks of their solutions. They do not think that is is MANDATORY.  It is a crude error, which must be fixed.



(5)  Next.  As the life has taught me, many of incoming problems are mathematically non-sensical.
     So, the input flow is quite dirty, and therefore, idiotic incoming problems should be filtered out.

OK. So, these are conclusions and directions from my overview that should be taken into account by developers of AI,
if they want to have a perfect product in 20 years.


XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX


OK and very good.

There is one more issue, which I hesitate to pronounce.

It is well known fact that the peak in Math education in the world (in all industrially
developed countries) was from the middle of 1950s to, roughly say, 1970.
After that peak, the recession of the level of Math education was observed worldwide.

So and therefore, the specialists who are able to communicate with young students,
to speak with them, to teach them Math, to inspire them and who got their Math education at that time,
have a special value. People of this generation are quite old and will go out soon -
so and therefore, it is of great importance, great necessity and high urgency to use the experience
of those of them, who still have a potential to share their knowledge, skills, style, tone, spirit and abilities.

When these people will go out totally, it will be too late.