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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.

The table shows the salary of an employee after x years of working for Company A The linear function y 200x 29000 represents the salary y of an employee in the class=

Respuesta :

calculista

Answer:

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

[tex]m=(34,050-33,300)/(6-1)=150[/tex]

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

[tex]y=200x+29,000[/tex]

This is the equation of the line into slope intercept form

so

the slope [tex]m=200[/tex]

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.

Answer:

The Answer is A

Step-by-step explanation:

The slope of each function is the rate of change. Company A's rate of change:

[tex]\frac{$33,750-$33,450}{2}[/tex] = $150. Company B's rate of change per year: y =

$200x + $29,000 → the slope is 200.

$200 − $150 = $50 greater per year