Example: Determining the Independent and Dependent Variables for the Function $N(t) = 75 + 10t$

Example: Determining the Independent and Dependent Variables for the Function $N(t) = 100 + 15t$

Example: Determining the Independent and Dependent Variables for the Function $N(t) = 110 + 25t$

Evaluating a Mathematical Function

A manufacturing supervisor uses the function $C = f(u)$ to calculate the total production cost ($C$) based on the number of units ($u$) produced during a shift. In this mathematical function, which term describes the variable $C$?

A service technician uses the mathematical function $C = f(h)$ to calculate the total cost ($C$) of a repair based on the number of hours ($h$) worked. In this function, the variable $C$ is known as the __________ variable because its value is determined by the number of hours.

A maintenance technician uses the function $L = f(h)$ to estimate the remaining life ($L$) of a mechanical part based on the number of hours ($h$) it has been in service. In this function, the variable $L$ is the dependent variable.

Analyzing Variable Roles in Production Functions

A shipping coordinator uses the mathematical function $V = f(t)$ to monitor the volume of fuel ($V$) remaining in a delivery truck after $t$ hours of driving. Match each component of this function with its correct mathematical description.