Question

Rita is a software saleswoman. Let y represent her total pay (in dollars). Let x represent the number of copies of History is Fun she sells. Suppose that x and yare related by the equation 2500 + 70x =y.Answer the questions below.Note that a change can be an increase or a decrease.For an increase, use a positive number. For a decrease, use a negative number.What is the change in Rita's total pay for each copy of History is Fun she sells?saWhat is Rita's total pay if she doesn't sell any copies of History is Fun?

Answer 1

Looking at the equation for the total pay, we can see that the slope of the function is 70.

The slope is the value multiplying the variable x in the function.

For each unitary increase in x, the total value of y will increase by the value of the slope, that is, 70.

Therefore the change in total pay for each copy is $70.

If Rita doesn't sell any copies, the value of x is zero, so the value of y will be:

`\begin{gathered} y=2500+70x\\ \\ y=2500+70\cdot0\\ \\ y=25000 \end{gathered}`

Therefore the total pay will be $2500.