MINI LESSON
Modeling Linear Functions
A linear function can model situations with a constant rate of change and an initial value.
In an equation like \(C(h)=6h+5\), the coefficient of the variable represents the rate of change.
The constant term represents the starting amount or fixed fee.
To interpret a function in context, match each part of the equation to the situation.
Question 1
When babysitting, Nicole charges an hourly rate and an additional charge for gas. She uses the function \(C(h)=6h+5\) to determine how much to charge for babysitting. The constant term of this function represents
Question 2
The amount of money a plumber charges is represented by the function \(p(h)=45+90h\). The best interpretation of the \(y\)-intercept of this function is that the plumber charges
Question 3
A landscaping company charges a set fee for a spring cleanup, plus an hourly labor rate. The total cost is modeled by the function \(C(x)=55x+80\). In this function, what does the 55 represent?