At Newport Dunes, it costs $15 to rent a paddleboard, plus $2 for each hour. Over a Balboa Bay club, the members can rent a paddleboard for only $10, but have to pay $4 for each hour. After how many hours would the paddleboards cost the same amount?

Please show work!

I don't understand!

15 + 2h = 10 + 4h

Solve for h.

Is the answer 2.5 hours?

To find out after how many hours the paddleboards would cost the same amount at Newport Dunes and Balboa Bay club, we need to set up an equation.

Let's denote the total cost of renting a paddleboard after x hours at Newport Dunes as N(x) and the total cost at Balboa Bay club as B(x).

At Newport Dunes, the initial cost is $15, and it increases by $2 per hour, we can express the total cost as:
N(x) = 15 + 2x.

At Balboa Bay club, the initial cost is $10, and it increases by $4 per hour, we can express the total cost as:
B(x) = 10 + 4x.

To find the number of hours when the costs are equal, we need to solve the equation N(x) = B(x).

15 + 2x = 10 + 4x.

To solve for x, we subtract 2x from both sides of the equation:
15 = 10 + 2x.

Subtracting 10 from both sides:
5 = 2x.

Finally, divide both sides by 2 to isolate x:
5/2 = x.

So after 2.5 hours, the paddleboards would cost the same amount at Newport Dunes and Balboa Bay club.