Tide's boat rental charges a rental fee of $200 plus $30 per hour. Surfs rental charges a rental fee of $240 plus $25 per hour. For what number of hours is the boat rental cost the same at each rental business
If the cost is the same for x hours, then clearly
200+30x = 240+25x
To find the number of hours for which the boat rental cost is the same at both Tide's boat rental and Surf's rental, we need to set up an equation and solve for the unknown variable.
Let's denote the number of hours as 'h'.
The rental cost at Tide's boat rental is calculated using the formula: 200 + 30h.
The rental cost at Surf's rental is calculated using the formula: 240 + 25h.
To find the number of hours where the rental cost is the same, we can set the two equations equal to each other and solve for 'h':
200 + 30h = 240 + 25h
Let's simplify the equation:
30h - 25h = 240 - 200
5h = 40
Now, we can solve for 'h' by dividing both sides of the equation by 5:
h = 40 / 5
h = 8
Therefore, the boat rental cost will be the same at both Tide's boat rental and Surf's rental for 8 hours.