SOLUTION: 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 $60 for 200 miles. On another day she

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 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 $60 for 200 miles. On another day she      Log On


   

Question 1165181: 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 $60 for 200 miles. On another day she rented a car from the same agency and paid $84 for 360 miles. Find the linear function f(x) (where x is in miles and f(x) is in dollars) that the agency could use to determine its daily rental charges.
Answer by Seutip(231) About Me  (Show Source):
You can put this solution on YOUR website!
Let:
a - be the fixed amount per day
b - amount per mile for renting a car
Day 1
a%2B200b=60
Day 2
a%2B360b=84
Given two equations a%2B200b=60 and a%2B360b=84
We can solve a=30 and b=0.15 through this a=a
a=60-200b and a=84-360b
84-360b=60-200b
84-60=360b-200b
24=160b
0.15=b substituting a%2B200b=60
a%2B200%280.15%29=60 we get a=30
Now we know that you pay $30 when you rent per day and $0.15 per succeeding miles. The linear function f(x) that the agency could use to determine its daily rental charges is:
f(x) = $3 + $0.15 x
(where x is in miles and f(x) is in dollars)
f%28x%29=30%2B0.15x
HI HOPE THAT HELPS!