Question

The descriptions of situations that 4 students think can be modeled by a linear function are listed in the table below.

Anna- The amount in a savings account grows by 6% every year compounded annually.

Brian- The salary of a person is $52,000 and it increases by $4,000 every year.

Julian- The price of a car is $36,000 and its value decreases every year by 10%

Kendra- The water level in a reservoir increases by 2 inches every hour.

Which of these students' situations can be modeled using a linear function ?

A. Anna and Julian
B. Anna and Kendra
C. Brian and Julian
D. Brian and Kendra

Answer 1

D-Brian and Kendra
These are the only equations that can be described linearly. The others are exponential equations
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Answer 2

Anna:
Because the principal amount deposited by Anna is compounded by 6% every year, the growth is exponential.

Brian
Brian's salary increases by a constant amount every year, therefore the growth is linear.

Julia
Because the value of the car depreciates every year by 10%, the decease compounds, and the relationship is exponential.

Kendra
The water level increases by a constant amount every hour, therefore the growth is linear.

Answer: D. Brian and Kendra