SOLUTION: O my thank you so much for your help with this word problem. Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rent

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: O my thank you so much for your help with this word problem. Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rent      Log On

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Question 159363This question is from textbook college algebra
: O my thank you so much for your help with this word problem. Suppose that a car rental agency charges a fixed amount per day plus an amount per mile for renting a car. Heidi rented a car one day and paid $80 for 200 miles. On aanother a day she rented a car from the same agency and paid $117.50 for 350 miles. Determine the linear function tha tthe agency could use to determine its daily rental charges. Many thanks for your time with this one.This question is from textbook college algebra

Answer by stanbon(48568) About Me  (Show Source):
You can put this solution on YOUR website!
Heidi rented a car one day and paid $80 for 200 miles. On aanother a day she rented a car from the same agency and paid $117.50 for 350 miles. Determine the linear function tha tthe agency could use to determine its daily rental charges.
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You have two points that relate distance to charge: (200,80) and (350,117.50)
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slope = (117.50-80) / (350-200) = 0.25
intercept: 80 = 0.25*200 + b; b = 30
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EQUATION:
C(x) = 0.25x + 30 dollars
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Cheers,
Stan H.