Question

(Linear Word Problem) Mike rented a car. He drove 30 miles and the fee was $22.50. Ben rented a car from the same establishment. He drove 50 miles and his fee was $31.50.

A) Write an equation that represents the cost, y, of renting a car for x miles.
B) If Mike rented a car and spent $21, how many miles did he drive?
C) What is the initial fee for the rental?
D) How much does it cost to drive 7 miles in the rental?

Answer 1

In the explanation tab.

Explanation:

(a) By raising both sides by removing, that phrase can be changed. rate • separate = cost-intensive

The amount paid (y) equals the rate ($/mile) times the distance traveled (x) Rate ($/mi) plus x (mi) equals y ($), with the units in ().

Data is provided for you to determine the rates for two drivers:

For Mike, x=30 miles, the toll was $22.50, and the rate=price/distance.

$22.50 divided by 30 miles equals $0.75 each mile.

In Ben's case, x = 50 miles, and the toll was $31.50; the rate is therefore $31.50 / 50 miles, or $0.63.

Mike is charged more than Ben.

Mike's journey (b):

rate improving the condition fetched • detach, unravel, and separate by isolating both sides at the same rate:

rate = distinct • rate / rate taken a toll

removing, changing, taken a toll = rate = $21.00/($0.75/mile) = 28 miles

(c) A piece of this address will have been missed by you. The questions in parts (c) and (d) are meaningless because no information about a "cab" is provided.