Question

jose is a software salesman. let y represent his total pay (in dollars). let x represent the number of copies of history is fun he sells. suppose that x and y are related by the equation y = 1500 + 70x. 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 the change in joses total pay for each copy of history is fun he sells? $ (b) what is joses total pay if he doesnt sell any copies of history is fun? $

Explanation:

Part (a)

Step1: Identify the slope

The equation is in slope - intercept form \(y = mx + b\), where \(m\) is the slope (rate of change) and \(b\) is the y - intercept. In the equation \(y=1500 + 70x\), the coefficient of \(x\) is \(70\). This coefficient represents the change in \(y\) (total pay) for each unit change in \(x\) (number of copies sold).

Step2: Determine the change

Since the coefficient of \(x\) is \(70\), for each copy (\(x\) increases by 1) that Jose sells, his total pay \(y\) increases by \(70\) dollars.

Step1: Substitute \(x = 0\)

If Jose doesn't sell any copies, then \(x = 0\). We substitute \(x = 0\) into the equation \(y=1500+70x\).

Step2: Calculate \(y\)

When \(x = 0\), \(y=1500+70\times0=1500 + 0=1500\).

Answer:

\(70\)

Part (b)