Download REVIEW 8.1 to 8.3

REVIEW 8.1 to 8.3
1. Identify the initial amount a and the growth factor b in the exponential function
2. Graph the exponential function
3. Suppose the population of a town is 2,700 and is growing 4% each year. Write an
equation to model the population growth. Predict the population after 12 years.
4. Write an exponential function
6).
for a graph that includes (1, 15) and (0,
5. Find the annual percent increase or decrease that
models.
6. For an annual rate of change of –31%, find the corresponding growth or decay
factor.
7. Use a graphing calculator. Use the graph of
decimal places.
to evaluate
8. Write the equation
in logarithmic form.
9. Write the equation
in exponential form.
to four
10. A boat costs $15,500 and decreases in value by 10% per year. How much will the
boat be worth after 5 years?
11. The half-life of a certain radioactive material is 85 days. An initial amount of the
material has a mass of 801 kg. Write an exponential function that models the
decay of this material. Find how much radioactive material remains after 10 days.
Round your answer to the nearest thousandth.
12. Suppose you invest $3,800 principal earning 2%, compounded quarterly. Find
the balance in the account after 7 years.
13. Suppose you invest $1600 at an annual interest rate of 4.6% compounded
continuously. How much will you have in the account after 4 years?
Evaluate the logarithm.
14.
15.
16.
log 0.01