Question

City Machine Rental charges a $ 7.95 flat rate to rent an industrial vacuum. In addition to that, they charge $ 12 per day. Kendra has no more than $ 30 to spend on the rental. At most, how many days can Kendra rent the vacuum without exceeding her spending limit?

Answer 1

Explanation:

Let's assume Kendra can rent the vacuum for $30 for "x" number of days.

The cost per day for renting the vacuum is $12, which means Kendra will spend $12x for renting the vacuum for "x" days.

In addition to the daily charge, Kendra also has to pay a flat rate of $7.95 for renting the vacuum.

So, the total cost Kendra will incur for renting the vacuum for "x" days will be:

Total cost = $7.95 + $12x

We need to find the maximum number of days "x" for which the total cost is less than or equal to $30.

So, we can set up the following inequality:

$7.95 + $12x ≤ $30

Subtracting $7.95 from both sides:

$12x ≤ $30 - $7.95

$12x ≤ $22.05

Dividing both sides by $12:

x ≤ 1.84

Since Kendra can only rent the vacuum for a whole number of days, the maximum number of days she can rent the vacuum without exceeding her spending limit is 1 day. Therefore, Kendra can rent the vacuum for 1 day without exceeding her spending limit of $30.