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 $3.75 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 if necessary.(1 point)
Let's set up the equations:
For the first company, the cost is given by: $26 + $3.25x, where x is the number of hours.
For the second company, the cost is given by: $24 + $3.75x.
To find the number of hours for which the costs are the same, we can set the two equations equal to each other and solve for x:
$26 + $3.25x = $24 + $3.75x
Simplifying the equation:
$26 - $24 = $3.75x - $3.25x
$2 = $0.50x
Dividing both sides of the equation by $0.50:
x = $2 / $0.50
x = 4
Therefore, the number of hours for which the costs are the same is 4 hours.
To find the number of hours for which the costs are the same between the two jet ski companies, we can set up an equation.
Let x be the number of hours for which the costs are the same.
For the first company, the cost is given by:
Cost = $26.00 + $3.25x
For the second company, the cost is given by:
Cost = $24.00 + $3.75x
Setting the two costs equal to each other, we have:
$26.00 + $3.25x = $24.00 + $3.75x
Subtracting $24.00 from both sides, we get:
$26.00 - $24.00 + $3.25x - $3.75x = $3.75x - $3.75x
Simplifying, we have:
$2.00 = $0.50x
Dividing both sides by $0.50, we get:
4 = x
Therefore, the number of hours for which the costs are the same is 4 hours.
To find the number of hours for which the costs are the same, we need to set up an equation and solve it using a graphing calculator. Let's assume the number of hours is represented by 'x'.
For the first company, the total cost can be calculated as:
Cost = $26.00 (flat fee) + $3.25 (hourly rate) * x (number of hours)
For the second company, the total cost can be calculated as:
Cost = $24.00 (flat fee) + $3.75 (hourly rate) * x (number of hours)
Our equation would be:
26 + 3.25x = 24 + 3.75x
To use a graphing calculator, we need to rearrange the equation in the form of y = mx + b:
3.75x - 3.25x = 26 - 24
0.5x = 2
Now we can enter this equation into a graphing calculator and find the point of intersection.
Alternatively, we can solve this equation algebraically:
0.5x = 2
x = 2 / 0.5
x = 4
Therefore, the costs will be the same after 4 hours.