SOLUTION: Dr. Don offers tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of

Question 1154861: Dr. Don offers tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she can afford to spend between $140 and $200? ( express answer as an inequality)
Found 3 solutions by mananth, josgarithmetic, MathTherapy:
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!

f(H) 40+20x
140= 40 +20x
100 =20x
x=5
200 =40+20x
160=20x
x=8

Answer by josgarithmetic(39613)   (Show Source): You can put this solution on YOUR website!
--------------------------------------------
He charges $40 as a fixed rate for the first hour plus $20 for each additional hour.
------------------------------------------

TIME,x COST, y 0 0 1 40 2 40+20 3 40+2*20 4 40+3*20 x 40+20(x-1)

For x=0 y=0 For x=1 y=40 For x more than 1 y=20(x-1)+40

The minimum time for cost $140,

--------------six hours of tutoring

The max time if cost $200,
... you can figure this ....
Answer by MathTherapy(10549)   (Show Source): You can put this solution on YOUR website!
Dr. Don offers tutoring service for college students. He charges $40 as a fixed rate for the first hour plus $20 for each additional hour. What is the minimum and maximum number of hours of tutoring a student can get if he or she can afford to spend between $140 and $200? ( express answer as an inequality)

Let each hour of tutoring be h
Then the cost equation is: f(h) = 20(h - 1) + 40
f(h) = 20h - 20 + 40
f(h) = 20h + 20
Therefore, to get number of hours of tutoring for costs between $140 and $200, we have:
--- Subtracting 20
--------- Dividing by 20
As seen, minimum and maximum number of hours she can afford are 6 and 9, respectively.
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