SOLUTION: Please answer this question for me. This is for my final exams so please help and it's urgent. Please just try to show how you got to the answer I need to see all the work involved

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Please answer this question for me. This is for my final exams so please help and it's urgent. Please just try to show how you got to the answer I need to see all the work involved      Log On


   



Question 453171: Please answer this question for me. This is for my final exams so please help and it's urgent. Please just try to show how you got to the answer I need to see all the work involved in this problem. Thank you so much for helping me! I really appreciate it!
Question:
A foal was 100 lb when it was born. It weighed 160 lb at 4 weeks and 220 lb at 8 weeks. At that rate of increase, about how many pounds will the foal weigh at 14 weeks?
Please, Please show all the work, I really need it. Thank you so much! :)

Found 2 solutions by jim_thompson5910, pedjajov:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
It appears that the foal is gaining 60 lbs every 4 wks (since 160 - 100 = 60 and 220 - 160 = 60)


So the rate of growth is (60 pounds)/(4 weeks) = 15 pounds per week


In other words, when one week passes, the foal will gain 15 pounds.


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So if the rate is 15 lbs/wk, then in 2 weeks, the foal will gain 15*2 = 30 lbs.

In 3 weeks, the foal will gain 15*3 = 45 lbs.

etc.

So in 14 weeks, the foal will gain 15*14 = 210 pounds.

Add this to the original weight of 100 pounds to get

100 pounds + 210 pounds = 310 pounds


So in 14 weeks, the foal will weigh 310 pounds.


Note: this growth can't continue forever, so there is a cutoff point. However, we're well below it.

Answer by pedjajov(51) About Me  (Show Source):
You can put this solution on YOUR website!
Difference in weight after first 4 weeks is 160-100 = 60lb.
Difference in weight after second 4 weeks is 220-160 = 60lb.
:
The rate of increase is 60 pounds in 4 weeks.
:
So its weight is increased per week as
:
(total increase in 4 weeks)/4 weeks = 60/4 = 15 pounds per week
:
So if it continues with the same rate then after 6 additional weeks it should weigh
:
220+6*15=220+90=310 pounds.