Question

christine is a software saleswoman. let \\(y\\) represent her total pay (in dollars). let \\(x\\) represent the number of copies of math is fun she sells. suppose that \\(x\\) and \\(y\\) are related by the equation \\(y = 70x + 1800\\).

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.

(a) what is christines total pay if she doesnt sell any copies of math is fun?
\\$

(b) what is the change in christines total pay for each copy of math is fun she sells?
\\$

Explanation:

Evaluate pay for zero sales

Using the Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Determine rate of change

Identify the slope of the linear model:

• The equation is in slope-intercept form \(y = mx + b\), where \(m\) represents the rate of change.
• Here, \(m = 70\), which represents the change in total pay for each copy sold.
• Since \(70\) is positive, it represents an increase of \(70\) dollars.

Answer:

(a) What is Christine's total pay if she doesn't sell any copies of Math is Fun?
$1800

(b) What is the change in Christine's total pay for each copy of Math is Fun she sells?
$70