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?

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

Step-by-step 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.

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

Step-by-step 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

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

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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