5 a landscaping company charges a set fee for a spring cleanup, plus an hourly labor rate. the total cost is…

5 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? (1) the set fee for the cleanup (2) the hourly labor rate for a cleanup (3) the profit earned by the company for one cleanup (4) the number of hours of labor required for one cleanup

5 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? (1) the set fee for the cleanup (2) the hourly labor rate for a cleanup (3) the profit earned by the company for one cleanup (4) the number of hours of labor required for one cleanup

Answer

Explanation:

Step1: Identify the cost - function form

The cost function is in the form of a linear function $C(x)=mx + b$, where $m$ is the slope and $b$ is the y - intercept. In the context of cost, $b$ is the fixed cost and $m$ is the variable cost per unit of the independent variable.

Step2: Analyze the given function

The given function is $C(x)=55x + 80$. Here, $x$ represents the number of hours of labor. The term $80$ is the fixed cost (the set - fee for the cleanup), and the term $55x$ represents the cost that depends on the number of hours of labor. Since the cost changes by $55$ for each unit increase in $x$ (number of hours), $55$ is the hourly labor rate.

Answer:

(2) the hourly labor rate for a cleanup