Question

A rental car company charges $31.91 per day to rent a car and $0.07 for every mile driven. Hudson wants to rent a car, knowing that:
He plans to drive 100 miles.
He has at most $70 to spend.

Which inequality can be used to determine x, the maximum number of days Hudson can afford to rent for while staying within his budget?

Answer 1

The inequality that can be used to determine x is $31.91x + 7 \leq 70$

How to generate the inequality

Given data

Rental company charge per day = $31.91

Rental company charge per mile driven = $0.07

Hudson  plans to drive 100 miles

Hudson has at most $70

solution

let x represent he maximum number of days Hudson can afford to rent while staying on budget. cost of number of days is:

$31.91 * x= 31.91x

As Hudson plans to ride 100 miles; cost is:

100 * 0.07 = $7

therefore number of days plus 100 miles ride is:

31.91x + 7

with a limit of less than or equal to the budget we have:

$31.91x + 7 \leq 70$

The inequality above could be used to determine x

Read more on inequality here:  brainly.com/question/11613554

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