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Additional Practice
Lessons 6.13 and 6.14
1. Use a calculator and sketch the graph of y 800(1.06)x using the domain
0 x 20. Describe a situation that this graph represents.
2. Rasheed puts $1000 into an investment account at 8% APR compounded
annually. After how many years will he be closest to doubling his initial
investment? Tripling his investment? Quadrupling his investment?
3. For each interest rate compounded annually, find the number of years
after which Rasheed would be closest to tripling his starting investment
of $1000.
a. 5%
b. 10%
c. 15%
d. 20%
4. Suppose you invest $5000. Calculate the total value of each investment
after two years.
a. 3% APR compounded annually
b. 3% APR compounded quarterly
c. 5% APR compounded annually
d. 5% APR compounded monthly
5. Jodi invests $5000 for three years. How much will she earn in an account
with each interest rate compounded annually?
a. 4% APR
b. 5% APR
c. 6% APR
d. 8% APR
e. 10% APR
f. 12% APR
6. Ernie drops a ball from a height of 64 feet. On its first bounce, the ball
rebounds to 48 feet. On its second bounce, it rebounds to 36 feet. On its
third bounce, it rebounds to 27 feet.
a. Show that the ratios
bounce 1
starting height
, bounce 2 , and bounce 3 are equal.
bounce 3
bounce 2
b. Find the heights of bounces 4, 5, and 6.
c. Use your data from parts (a) and (b). If h is the height of a certain
bounce, write an expression that represents the height of the next
bounce in terms of h.
d. Write an equation that represents the relationship between height h
and bounce b.
7. Sketch each graph for 3 x 3.
a. y 3x
d. y a 13 b
x
b. y 1x
c. y 5x
e. y 3x
f. y a 15 b
x
8. Consider the graph of y bx, where b is any positive real number.
a. For what values of b is the graph of y increasing?
b. For what values of b is the graph of y decreasing?
c. For what values of b is the graph of y neither increasing nor decreasing?
CME Project • Algebra 1 Common Core Teaching Resources
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