Question

A rental car company charges $42.72 per day to rent a car and $0.10 for every
mile driven. Zoey wants to rent a car, knowing that:
• She plans to drive 200 miles.
• She has at most $350 to spend.
Which inequality can be used to determine x, the maximum number of days
Zoey can afford to rent for while staying within her budget?
350 > 20 + 42.72x
350 < 20 + 42.72x
Submit Answer
350 > 42.72 + 20x
350 < 42.72 + 20x

Answer 1

The equation for maximum number of days (x) Zoey can afford to rent while saving within her budget is 350 > 20 + 42.72x

The given parameters;

cost per day = $42.72

cost per mile, = $0.10

distance planned by Zoey = 200 miles

maximum amount to be spent by Zoey = $350

The maximum number of days (x) Zoey can afford to rent while saving within her budget is calculated as follow;

Total expenses should be less than her maximum budget

200(0.1) + 42.72x ∠ 350

20 + 42.72x ∠ 350

The above equation can also be written as; 350 > 20 + 42.72x

Thus, the equation for maximum number of days (x) Zoey can afford to rent while saving within her budget is 350 > 20 + 42.72x

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