Question

Katie is just hired at a new sales company. She is given a $500 hiring bonus. Additionally she earns an average commission of $250 per week. What is the rate of change for katies salary and what does it mean in this context ?

Answer 1

Rate of change = 250.

Katie's salary is increasing $250 per week.

Explanation:

Let x be the number of weeks.

We have been given that Katie is just hired at a new sales company. She is given a $500 hiring bonus.This means that initial value or y-intercept is 500.

Additionally she earns an average commission of $250 per week. So the commission after w weeks will be 250*x.

Upon using our given information we can form an equation as:
`y=250x+500`

Since we know that an equation of line in slope-intercept form is:
`y=mx+b`, where,

m = Slope or rate of change.

b = The y-intercept.

Upon comparing our equation with slope-intercept form of equation we can see that rate of change for Katie's salary is 250, which means Katie's salary is increasing $250 per week.