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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

Verified Answer :

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 = 2.5x - 2.25x
1= 0.25x
x=4

QueasyUnicorn14

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:

\(3.50x-3.25x=26-24\\0.25x=2\\x=\frac{2}{0.25}\\ x=8\)

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

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