Question

Melissa plans to rent a car for her 7 day vacation. The rental company charges a $99 fee for week-long rentals plus $0.20 per mile driven. Melissa can afford to spend no more than $200 total for her rental car. Which is the correct inequality for this statement?

Answer 1

The distance Melissa can drive in the rented car ≤ 505 miles

Explanation:

Amount charged by rental car company = $ 99 per week + $0.20 per driven mile

Amount Melissa can afford = $200

Therefore $99 + X × $0.20 ≤ $200

X × $0.20 ≤ $200 - $99

X × $0.20 ≤ $101

`X \leq (\$101)/(\$0.20)`

`X \leq 505 \ miles`

The distance Melissa can drive in the rented car ≤ 505 miles.

Answer 2

The inequality that represents this statement is 99 + 0.2*miles <= 200 and Melissa has to drive 505 miles or less on her vacation.

Explanation:

In order to solve this problem we can first create an equation that represents the total paid in function of the miles driven. We have:

total paid = 99 + 0.2*miles

Since Melissa can oly pay $200 for the rent, then the total paid by her must be less or equal to this value so we have:

99 + 0.2*miles <= 200

0.2*miles <= 200 - 99

0.2*miles <= 101

miles <= 101/0.2

miles <= 505 miles

The inequality that represents this statement is 99 + 0.2*miles <= 200 and Melissa has to drive 505 miles or less on her vacation.