Question

A jet ski company charges a flat fee of $26.00 plus $3.25 an hour to rent a jet ski. Another company charges a fee of $24.00 plus $3.50 per hour to rent the same jet ski. Find the number of hours for which the costs are the same. Choices: A) 2. B) 8. C) 10. D) 12

Answer 1

Answer:

8 hours :)))))

Answer 2

The first thing we must do is define variables.

We have then:

x: number of hours

y: total cost

For the first company we have:

$y = 3.25x + 26$

For the second company we have:

$y = 3.50x + 24$

To find the number of hours for which the cost is the same we have to match both equations:

$3.25x + 26 = 3.50x + 24$

From here, we clear x:

$3.50x - 3.25x = 26 - 24\\0.25x = 2$

$x = \frac{2}{0.25}\\x = 8$

Answer:

the number of hours for which the costs are the same is:

x = 8

B) 8.