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) The cost would be the same for each company after hours.

Question

GPT 3.5 · Answer

To find the number of hours for which the costs are the same, we can set up an equation.

Let x be the number of hours.

For the first company, the cost is equal to $26.00 plus $3.25 per hour, which can be represented as 26 + 3.25x.

For the second company, the cost is equal to $24.00 plus $3.75 per hour, which can be represented as 24 + 3.75x.

Setting them equal to each other, we get:

26 + 3.25x = 24 + 3.75x

Subtracting 24 from both sides, we get:

2 + 3.25x = 3.75x

Subtracting 3.25x from both sides, we get:

2 = 0.5x

Dividing both sides by 0.5, we get:

4 = x

So the costs would be the same after 4 hours.