Question

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function y=34.95x+6.25, where x is the number of uniforms bought. What is the rate of change for this solution.

Answer 1

The function we have is:

$y=34.95x+6.25$

This is a linear function.

We can find the slope (the rate of change) of this function, by comparing it to the general slope-intercept equation:

$y=mx+b$

Where m is the slope (rate of change) and b is the y-intercept of the line.

By comparison, we see that m an b are:

$\begin{gathered} m=34.95 \\ b=6.25 \end{gathered}$

Since we are asked for the value of the rate of change, the answer is the value of m:

$\text{rate of change=34.95}$

which is option A.

Answer:

A. 34.95