Question

A rental car company charges $40.50 per day to rent a car and $0.12 for every mile driven. Sebastian wants to rent a car, knowing that:

He plans to drive 400 miles.
He has at most $210 to spend.

Write and solve an inequality which can be used to determine d
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d, the number of days Sebastian can afford to rent while staying within his budget.

Answer 1

...Sebastian wants to rent a car, knowing that: He plans to drive 400 miles.

1 mile = 1,609km

400miles=1,609*400=643,738km=644km

rental cost per day: $40.50

cost per km: $0.12

Sebastian has a maximum of $210 to spend.

Write and solve an inequality that can be used to determine d

d, the number of days that Sébastien can afford to rent while respecting his budget.

0.12*644+40.5d≤210

77.28+40.5d≤210

40.5d≤210-77.28

40.5d≤132.72

d≤3.277 or 3 days

he can rent the car for 3 days

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