Question

A rental car company charges $41.50 per day to rent a car and $0.10for every mile driven. Mia wants to rent a car, knowing that:• She plans to drive 225 miles.• She has at most $230 to spend.Write and solve an inequality which can be used to determine x, thenumber of days Mia can afford to rent while staying within her budget.Inequality:Submit Answerattempt 1 out of 3

Answer 1

`41.50x+22.5\le230`
`x\le5`

Step-by-step explanation:

We know that the rental car company charges $41.50 per day; thereofre, if we rent a car for x days then our cost will be 41.50x. Furthermore, we also know that the company charges an addition 0. 10 per mile driven; therefore, if we drive 225 miles then our cost will be 41.50 x + 225 (0.10) or

`41.50x+22.5`

And since mia has at most 230 dollars to spend, we have

`41.50x+22.5\le230`

subtracting 22.5 from both sides gives

`41.50x\le230-22.5`
`41.50x\le207.5`

dividing both sides by 41.50 gives

`x\le5`

which is our answer!