Question

Rob's yearly salary is given by the equation y = 500x + 40,000, where x is the number of years since 2015, and y is his salary in dollars. What has been his yearly raise (rate of change) since 2015?

a) $500
b) $40,000
c) $540
d) $50,000

Answer 1

In this case, Rob's yearly raise since 2015 is $500.

The answer to the question is

Step-by-step explanation:

The given equation for Rob's yearly salary, y = 500x + 40,000, is in the form of a linear equation, y = mx + b, where:

• - y represents the salary
• - x represents the number of years since 2015
• - m represents the slope of the line, which in this case is the yearly raise
• - b represents the y-intercept, which is the initial value of the salary when x=0 (in the year 2015)

From the equation, we can determine the following:

• 1. The coefficient of x is 500. This coefficient corresponds to the slope of the line, meaning it is the amount by which Rob's salary increases for each additional year of work.
• 2. The y-intercept is 40,000, which is his salary when x is 0 (the starting salary in the year 2015).

Therefore, the yearly raise (rate of change) since 2015 for Rob's salary has been $500.

The answer to the question is: a) $500

This means that Rob's salary increases by $500 each year since 2015.