Question

A company charges $150 deposit plus $25 per hour to rent a moving trailer. If the total cost is y and the number of hours the moving trailer is rented is x, then the equation to determine the total cost is y = 25x + 150. What is the independent variable and the dependent variable?

Answer 1

The number of hours is the independent variables and the total cost is the dependent variable.

Explanation:

From statement we get a linear function for modelling costs as a function of the number of hours rented. The standard form of the linear function is:

`y = m\cdot x + b` (Eq. 1)

Where:

`x` - Independent variable, measured in hours.

`y` - Dependent variable, measured in US dollars.

`m` - Slope, measured in US dollars per hour.

`b` - y-Intercept, measured in US dollars.

Hence, the number of hours is the independent variables and the total cost is the dependent variable.