5.4.6 Practice

1. Which expression is equal to $4^0\cdot <!--\; \cdot \; -->4^2$?

2. Select three expressions that are equivalent to $3^8$.

1. $8^3$
2. $\frac{3^{10}}{3^2}$
3. $3\cdot <!--\; \cdot \; -->8$
4. ${\left(3^4\right)}^2$
5. ${(3\cdot <!--\; \cdot \; -->3)}^4$
6. $\frac{1}{3^8}$

3. The dollar value of the bond, 0 decades

4. The dollar value of the bond, 1 decade

5. The dollar value of the bond, 2 decades

6. The dollar value of the bond, 3 decades

7. An investment bond is initially bought for $250. It doubles in value every decade. How many decades does it take before the bond is worth more than $10,000?
   

8. An investment bond is initially bought for $250. It doubles in value every decade. Choose an equation that relates $V$, the value of the bond, to $d$, the number of decades since the bond was bought.

9. A sea turtle population $p$ is modeled by the equation $p=400\cdot <!--\; \cdot \; -->(1.25{)}^y$ where $y$ is the number of years since the population was first measured. How many turtles are in the population when it is first measured?

10. A sea turtle population $p$ is modeled by the equation $p=400\cdot <!--\; \cdot \; -->(1.25{)}^y$ where $y$ is the number of years since the population was first measured. 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.

11. Which account has more money after one week?

12. Which account has more money after fifteen weeks?

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

13. The graph of the red triangles corresponds to which bank account?

14. The graph of the blue circles corresponds to which bank account?

15. Which of the two accounts would you choose for long-term saving?