A jet ski company charges a flat fee of $26.00 plus $3.25 per 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..
Using a graphing calculator, find the number of hours for which the costs are the same. Round your answer to the nearest whole hour.
Let x be the number of hours.
The cost for the first company is 26 + 3.25x.
The cost for the second company is 24 + 3.50x.
We want to find the value of x when the costs are equal:
26 + 3.25x = 24 + 3.50x
0.25x = 2
x = 2 / 0.25
x = 8
The costs are the same for 8 hours. Answer: \boxed{8}.
To find the number of hours for which the costs are the same, we need to set up an equation. Let's represent the number of hours as 'x'.
For the first company:
Cost = $26.00 + $3.25x
For the second company:
Cost = $24.00 + $3.50x
Setting the two costs equal to each other:
$26.00 + $3.25x = $24.00 + $3.50x
Now, let's solve this equation using a graphing calculator:
1. Press the "Y=" button on the calculator.
2. Type in the left side of the equation: 26 + 3.25x.
3. Type in the right side of the equation: 24 + 3.50x.
4. Press the "GRAPH" button to display the graph.
5. Look for the point where the two lines intersect.
Once you find the point of intersection, read the x-coordinate, which represents the number of hours for which the costs are the same. Round this value to the nearest whole hour.
Please note that in order to provide a more specific answer, it would be helpful to know the brand or specific model of graphing calculator you are using.
To find the number of hours for which the costs are the same, we need to set up an equation and solve it. Let's denote the number of hours as 'x'.
For the first company, the cost is given by: $26.00 + $3.25x.
For the second company, the cost is given by: $24.00 + $3.50x.
Setting these two expressions equal to each other, we get:
$26.00 + $3.25x = $24.00 + $3.50x.
To solve for 'x', we can rearrange the equation as follows:
$3.25x - $3.50x = $24.00 - $26.00.
Combining like terms, we have:
-$0.25x = -$2.00.
Dividing both sides of the equation by -0.25, we get:
x = -$2.00 / -0.25.
Simplifying, we have:
x = 8.
Therefore, the costs for both companies will be the same after 8 hours.