Question

A jet ski company charges a flat fee of $24.00 plus $2.25 per hour to rent a jet ski. Another company charges a fee of $23.00 plus $2.50 per hour to rent the same jet ski.

Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour. (1 point)
A• 9
B• 8
C• 4
D•3

Answer 1

Step-by-step explanation and the Answer:

The first thing we must do is define variables. We have x= number of hours and y= total cost .

For the first company we have:

`y=3.5x+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=(2)/(0.25)\\ x=8`

The answer is the number of hours for which the costs are the same is: x = 8 . So it's B. 8.

Answer 2

The answer to this question would be: C• 4 hours
In this question, there are two jet ski companies with a different price. Each of them can be translated into an equation with x= hour of rent. The equation should be:

price1= 24 + 2.25 * x
price2= 23 + 2.5 * x

You are asked to find when did the rent cost of both company will be same, in another word, what x will give price1 = price2. Then the calculation would be:
price1 = price2
24 + 2.25 * x = 23 + 2.5 * x
24-23 = 2.5*x - 2.25*x
1= 0.25x
x=4