Complete the following questions to practice the skills you have learned in this lesson.
- Which expression equals ?
For questions 2 – 3, use the following information :
The graph shows the yearly balance, in dollars, of investment account A. The table shows the yearly balance, in dollars, of investment account B.
Investment account A Investment account B ![]()
Number of years Amount in dollars 0 $2,000 1 $2,150 2 $2,300 3 $2,450 4 $2,600 Table 5.3.0
- What type of functions do the graph and the table represent?
- Investment A is a/n:
-
linear function
-
exponential function
- Investment B is a/n:
-
linear function
-
exponential function
- Which of the following statements are true? Select two that apply.
- Investment A has a higher initial balance than investment B.
- Investment A has a common ratio.
- Investment B has a common ratio.
- Investment A is growing by the same number of dollars each year.
- Investment B is growing by the same number of dollars each year.
- After 12 years, investment B will result in more money.
- Investment account 1 starts with a balance of $200 and doubles every year. Investment account 2 starts with $1,000 and increases by $100 each year. How long does it take for each account to double?
- How many years will it take investment account 1 to double?
-
15
-
10
-
5
-
1
- How many years will it take investment account 2 to double?
-
15
-
10
-
5
-
1
For questions 5 – 7, use the following information:
A population of ants is 10,000 at the start of April. Since then, it triples each month.
- At the start of April, there were 10,000 ants in the colony. How many ants will there be 1 month later?
-
90000
-
30000
-
10300
-
10003
- Which values complete the table?
months since April number of ants 0 10,000 1 30,000 2 3 4 Table 5.3.1
-
33,000, 33,300, 33,330
-
40,000, 70,000, 110,000
-
90,000, 270,000, 810,000
-
50,000, 70,000, 90,000
- If there are ants in one month, which expression represents how many ants there will be one month later?
- A swimming pool contains 500 gallons of water. A hose is turned on, and it fills the pool at a rate of 24 gallons per minute. Which expression represents the amount of water in the pool, in gallons, after 8 minutes?
- The population of a city is 100,000. It doubles each decade for 5 decades. Select the two expressions that represent the population of the city after 5 decades.
- 32,000
- 320,000
- Bank account C starts with $10 and doubles each week. Bank account D starts with $1,000 and grows by $500 each week.
When will account C contain more money than account D?
-
Account C will contain more money than account D after 10 weeks.
-
Account C will contain more money than account D after 7 weeks.
-
Account C will never contain more money than account D.
-
Account C will contain more money than account D after 2 weeks.