Name______Date______
In Exercises 1–3, evaluate the expression for (a) and (b)
1. 2. 3.
In Exercises 4–9, tell whether the function represents exponential growth or exponential decay. Then graph the function.
4. 5. 6.
7. 8. 9.
In Exercises 10 and 11, use the graph of to identify the value of the base b.
10. 11.
12.The value of a rare coin y (in dollars) can be approximated by the model where t is the number of years since the coin was minted.
a.Tell whether the model represents exponential growth or exponential decay.
b.Identify the annual percent increase or decrease in the value of the coin.
c.What was the original value of the coin?
d.Estimate when the value of the coin will be $0.60.
In Exercises 13–15, rewrite the function in the form
Then state the growth or decay rate.
13. 14. 15.
16.You deposit $3000 into a bank account that pays 1.25% annual interest,
compounded semi-annually. How much interest does the account earn after
4 years?
In Exercises 1–3, evaluate the expression for (a) and (b)
1. 2. 3.
In Exercises 4–9, tell whether the function represents exponential growth or exponential decay. Then graph the function.
4. 5. 6.
7. 8. 9.
In Exercises 10 and 11, use the graph of to identify the value of the base b.
10. 11.
12.The value of a truck y (in dollars) can be approximated by the model where t is the number of years since the truck was new.
a.Tell whether the model represents exponential growth or exponential decay.
b.Identify the annual percent increase or decrease in the value of the truck.
c.What was the original value of the truck?
d.Estimate when the value of the truck will be $30,000.
In Exercises 13–15, rewrite the function in the form Then state the growth or decay rate.
13. 14. 15.
16.You deposit $3000 into a bank account that pays 1.25% annual interest, compounded monthly. How much interest does the account earn after 4 years?
Name______Date______
In Exercises 1–6, simplify the expression.
1. 2. 3.
4. 5. 6.
7.Describe and correct the error in simplifying the expression.
In Exercises 8–10, tell whether the function represents exponential growth or exponential decay. Then graph the function.
8. 9. 10.
In Exercises 11–13, use the properties of exponents to rewrite the function in the form Then find the percent rate of change.
11. 12. 13.
In Exercises 14–16, use a table of values or a graphing calculator to graph the function. Then identify the domain and range.
14. 15. 16.
17.You invest $4000 in an account to save for college.
a.Option 1 pays 5% annual interest compounded semi-annually. What would
be the balance in the account after 2 years?
b.Option 2 pays 4.5% annual interest compounded continuously. What would
be the balance in the account after 2 years?
c.At what time t (in years) would Option 1 give you $100 more than Option 2?
In Exercises 1–6, simplify the expression.
1. 2. 3.
4. 5. 6.
7.Describe and correct the error in simplifying the expression.
In Exercises 8–10, tell whether the function represents exponential growth or exponential decay. Then graph the function.
8. 9. 10.
In Exercises 11–13, use the properties of exponents to rewrite the function in the form Then find the percent rate of change.
11. 12. 13.
In Exercises 14–16, use a table of values or a graphing calculator to graph the function. Then identify the domain and range.
14. 15. 16.
17.You invest $5000 in an account to save for college.
a.Option 1 pays 4% annual interest compounded monthly. What would be
the balance in the account after 2 years?
b.Option 2 pays 4% annual interest compounded continuously. What would
be the balance in the account after 2 years?
c.What is the difference between the two options after 10 years?
d.How would your answer to part (c) change if you invested $50,000?
Name______Date______
In Exercises 1–3, rewrite the equation in exponential form.
1. 2. 3.
In Exercises 4–6, rewrite the equation in logarithmic form.
4. 5. 6.
In Exercises 7–12, evaluate the logarithm.
7. 8. 9.
10. 11. 12.
In Exercises 13–15, evaluate the logarithm using a calculator. Round your answer to three decimal places.
13. 14. 15.
16.The decibel level D of sound is given by the equation where I is the intensity of the sound. What is the decibel level when the intensity of the sound is
In Exercises 17–19, simply the expression.
17. 18. 19.
In Exercises 20–25, find the inverse of the function.
20. 21. 22.
23. 24. 25.
26.The wind speed s (in miles per hour) near the center of a tornado can be modeled by where d is the distance (in miles) that the tornado travels.
a.A tornado traveled 35 miles. Estimate the wind speed near the center of
the tornado.
b.The wind speed near the center of a tornado was 150 miles per hour. Find the distance that the tornado traveled.
In Exercises 1–3, rewrite the equation in exponential form.
1. 2. 3.
In Exercises 4–6, rewrite the equation in logarithmic form.
4. 5. 6.
In Exercises 7–12, evaluate the logarithm.
7. 8. 9.
10. 11. 12.
In Exercises 13–15, evaluate the logarithm using a calculator. Round your answer to three decimal places.
13. 14. 15.
16.The decibel level D of sound is given by the equation where I is the intensity of the sound. The pain threshold for sound is 125 decibels. Does a sound with an intensity of exceed the pain threshold? Explain.
In Exercises 17–19, simply the expression.
17. 18. 19.
In Exercises 20–25, find the inverse of the function.
20. 21. 22.
23. 24. 25.
26.The length (in inches) of an alligator and its weight w (in pounds) are related by the function
a.Estimate the length (in inches) of an alligator that weighs 250 pounds. What is its length in feet?
b.Find the inverse of the given function. Use the inverse function to find the weight of a 14-foot alligator. (Hint: Convert to inches first.)
1
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