Question

A rental car company charges $22.15 per day to rent a car and $0.07 for every mile driven. Aubrey wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $130 to spend. Write and solve an inequality which can be used to determine dd, the number of days Aubrey can afford to rent while staying within her budget.

Answer 1

The number of days that Aubrey can drive to stay in her budget is 5 days.

Inequality signs and their meanings

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

Equation that represents the question

Total amount that can be spent ≤ (cost to rent a car per day x number of days) + (cost per mile x total miles driven)

$130 ≤ ($22.15 x dd) + ($0.07 x 275)

Determination of the number of days that Aubrey can drive

130 ≤ ($22.15dd) + ($0.07 x 275)

130  ≤  $22.15dd + 19.25

130 - 19.25  ≤ $22.15dd

110.75  ≤ 22.15d

d  ≤ 110.75 / 22.15

d  ≤ 5

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