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 $58 for 190 miles. on another day she rented a car from the same agency and paid $86 for 330 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.

Question

Mathematics

Esmeralda Webster

11 July, 23:05

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 $58 for 190 miles. on another day she rented a car from the same agency and paid $86 for 330 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.

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Gilbert Hinton · Answer 1

190 miles = 58

330 miles = 86

Since both have the fixed amount,

330 - 190 miles = $ (86 - 58)

140 miles = $28

1 mile = $0.20

To find the fixed cost:

190 miles = 190 x 0.2 = $38

$58 - $38 = $20

f (x) = 20 + 0.2x