Question

It costs $12 plus $3.50 per hour to rent a paddle boat. Write an equation showing the relationship between the cost of renting a paddle boat (y) and the number of hours it was rented (x).

A) y = 3.50x + 12
B) y = 12x + 3.50
C) y = 12 + 3.50x
D) y = 3.50 + 12x

Answer 1

The equation showing the relationship between the cost of renting a paddle boat (y) and the number of hours it was rented (x) is y = 3.50x + 12.

Step-by-step explanation:

The question involves creating a linear equation based on the given information about renting a paddle boat. The independent variable (x) represents the number of hours the paddle boat is rented, and the dependent variable (y) represents the total cost of renting the paddle boat. The cost includes a fixed cost of $12 and a variable cost of $3.50 per hour. Therefore, the equation that shows the relationship between the cost (y) and the hours rented (x) is y = 3.50x + 12.

Using this equation, for any given number of hours (x), you can calculate the total cost (y) by multiplying the number of hours by $3.50 and adding the fixed cost of $12.