Question

“Ship to Shore” rents paddleboats for a fee of $10 plus $5 per hour that the boat is rented. Find the total cost for renting the boat for x amount of hours.

Questions: 1) What is the dependent variable (y)? 2) What is the independent variable (x)? 3) What is the equation that shows the relationship between x and y?

Answer 1

Explanation:

The dependent variable (y) is the total cost for renting the paddleboat.

The independent variable (x) is the number of hours that the paddleboat is rented for.

The equation that shows the relationship between x and y is:

y = 5x + 10

This equation represents a linear relationship where the slope (or rate of change) is $5 per hour, and the y-intercept is $10 (the cost for renting the boat for 0 hours). The term "5x" represents the additional cost for each hour rented, and the constant term "10" represents the initial cost of renting the paddleboat. To find the total cost of renting the boat for a specific number of hours (x), we can substitute that value of x into the equation and solve for y.