Algebra 1 | Unit 5 | Lesson 2: Patterns of Growth | Practice Problems

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 all expressions that represent the population of the city after 5 decades.

• 32,000

• 320,000

The table shows the height, in centimeters, of the water in a swimming pool at different times since the pool started to be filled. Does the height of the water increase by the same amount each minute? Explain how you know. Does the height of the water increase by the same factor each minute? Explain how you know.

minutes	height (cm)
0	150
1	150.5
2	151
3	151.5

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? Explain your reasoning.