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Practice

5.4.6 Practice

5.4.6 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

  1. Which expression is equal to 4 0 ⋅ 4 2 ?
  1. 64
  2. 16
  3. 1
  4. 0
  1. Select three expressions that are equivalent to 3 8 .
  1. 8 3
  2. 3 10 3 2
  3. 3 ⋅ 8
  4. ( 3 4 ) 2
  5. ( 3 ⋅ 3 ) 4
  6. 1 3 8

For 3 – 8 use the following information and table:

An investment bond is initially bought for $250. It doubles in value every decade. For each of the missing spaces in the table, complete the table.


decades since bond is bought

dollar value of bond

0

3. _____

1

4. _____

2

5. _____

3

6. _____

  1. The dollar value of the bond, 0 decades
  1. $750
  2. $500
  3. $250
  4. $0
  1. The dollar value of the bond, 1 decade
  1. $1000
  2. $750
  3. $500
  4. $250
  5. $0
  1. The dollar value of the bond, 2 decades
  1. $1500
  2. $1250
  3. $1000
  4. $750
  5. $500
  1. The dollar value of the bond, 3 decades
  1. $2250
  2. $2000
  3. $1750
  4. $1500
  5. $1250
  6. $1000
  1. How many decades does it take before the bond is worth more than $10,000?
  1. Choose an equation that relates V , the value of the bond, to d , the number of decades since the bond was bought.
  1. V = 250 ⋅ 2 d
  2. V = 250 ⋅ 2 ⋅ d
  3. V = 500 d
  4. V = 250 ⋅ d 2
For questions 9 – 10, use the following information:
A sea turtle population p is modeled by the equation p = 400 ⋅ ( 1.25 ) y where y is the number of years since the population was first measured.
  1. How many turtles are in the population when it is first measured?
  1. After how many years will the turtle population reach 700? Round to the nearest full year.

Use the following information to answer questions 11 and 12.

  • Bank Account A starts with $5,000 and grows by $1,000 each week.
  • Bank Account B starts with $1 and doubles each week
  1. Which account has more money after one week?
  1. Bank Account A
  2. Bank Account B
  1. Which account has more money after fifteen weeks?
  1. Bank Account A
  2. Bank Account B

For 13 - 15, use this graph showing the two account balances.

  1. The graph of the red triangles corresponds to which bank account?
  1. Bank Account A
  2. Bank Account B
  1. The graph of the blue circles corresponds to which bank account?
  1. Bank Account A
  2. Bank Account B
  1. Which of the two accounts would you choose for long-term saving?
  1. Bank Account A
  2. Bank Account B