Appreciation/Depreciation Quiz

1. Which of the following terms best describes the function above?

2. Given the exponential function \(P=150(1.9)^t\) where P represents a population and t represents a number of days. What does the value of 1.9 in the function tell you?

3. Given the exponential function \(P=150(1.9)^{\frac{t}{7}}\) where P represents a population and t represents a number of days. Which of the following must be False?

4. Ryan bought a car and the table above shows how the value of that car changes over a 3 year period. Which of the following descriptions best describe the function above?

5. Which of the following equations best represents the information above?

If the exponential function takes the form \(f(x)=f(0)(1+r)^x\) , what is the value of \(r\)?

Student Response

Questions 7 and 8 refer to the following information.

If the graph above is modelled on the function \(y=ab^x\).

7. What is the value of \(a\)?

8. What is the value of \(b\)?

Questions 9, 10 and 11 refer to the following information.

The population of bacteria (b) obsevred in a petri dish over time (t) can be modelled by the equation below:

\(b=1000000(0.8)^t\)

9. How many bacteria are there in the beginning?

10. Will the bacterial number increase or decrease? 

11. What was the rate of growth/decay as a percentage?

12. Find the compound interest payable when $4200 is invested for 3 years at 7% per annum.

13. If the graph above is modeled on \(y=ab^x\), what is the value of \(b\)?