The table shows the salary of an employee after x years of working for company a. the linear function y = 200x + $29,000 represents the salary, y, of an employee in the same position working at company b for x number of years. which statement best compares the rate of change per year for the employee at company a and the employee at company b?
a) the rate of change per year for company a's employee is $50 less than company b's rate of change per year.
b) the rate of change per year for company a's employee is $150 greater than company b's rate of change per year.
c) the rate of change per year for company b's employee is $200 greater than company a's rate of change per year.
d) the rate of change per year is the same for company a and company b.

Option A The rate of change per year for Company A's employee is $50 less than Company B's rate of change per year.

Step-by-step explanation:

step 1

Find out the rate of change per year for the employee at Company A

we have

(1,33,300) and (6,34,050)

Find the slope of the linear function

The rate of change is equal to the slope

therefore

The rate of change per year for the employee at Company A is $150

step 2

Find out the rate of change per year for the employee at Company B

we have

This is the equation of the line into slope intercept form

so

the slope

therefore

The rate of change per year for the employee at Company B is $200

step 3

Compare the rate of change

Company A is $150 per year

Company B is $200 per year

therefore

The rate of change per year for Company A's employee is $50 less than Company B's rate of change per year.

the answer is y < -3 or   y > 3

-3y > 7 + 2

-3 y > 9

y < -3