Exponential Growth Quiz

A town's population increases in one year from 100,000 to 110,000. If the population is growing linearly, at a steady rate, then at the end of the second year it will be

• 110,000

• 120,000

• 121,000

Tags

CCSS.HSF-LE.A.1B

A town's population increases in one year from 100,000 to 110,000. If the population is growing exponentially at a steady rate, then at the end of the second year it will be

• 110,000

• 120,000

• 121,000

Tags

CCSS.HSF-LE.A.1C

The balance owed on your credit card doubles from $1000 to $2000 in 6 months. If your balance is growing exponentially, how much longer will it be until it reaches $4,000?

• 6 months

• 12 months

• 18 months

The number of songs in your iPod has increased from 200 to 400 in 3 months. If the number of songs is increasing linearly, how much longer will it be until you have 800 songs?

• 3 months

• 6 months

• 1 1/2 months

Tags

CCSS.HSF-LE.A.1B

Which of the following is an example of exponential decay?

• The population of a rural community decreases by 100 people per year.

• The price of gasoline decreases by $0.02 per week.

• Government support for education decreases 1% per year.

Tags

CCSS.HSF-LE.A.1A

On a chessboard with 64 squares, you place 1 penny on the first square, 2 pennies on the second square, 4 pennies on the third, and so on. If you could follow this pattern to fill the entire board, about how much money would you need in total?

• about $1.28

• about $500,000

• about 10,000 times as much as the current U.S. federal debt

Tags

CCSS.HSF.BF.A.2

At 11:00 you place a single bacterium in a bottle, and at 11:01 it divides into 2 bacteria, which at 11:02 divide into 4 bacteria, and so on. How many bacteria will be in the bottle at 11:30?

• 2 x 30

• 2^30

• 2 x 10^30

Tags

CCSS.HSF.BF.A.2

Consider the bacterial population described where it doubles every minute. How many more bacteria are in the bottle at 11:31 than at 11:30?

• 30

• 2^30

• 2 x 10^30

Tags

CCSS.6.EE.A.1

Consider the bacteria problem where the bacteria double every minute. If the bacteria occupy a volume of 1 cubic meter at 12:02 and continue their exponential growth, when will they occupy a volume of 2 cubic meters?

• 12:03

• 12:04

• 1:02

Tags

CCSS.HSF.LE.A.4

Which of the following is not true of any exponentially growing population?

• With every doubling, the population increase is nearly equal to the total increase from all the previous doublings.

• The steady growth makes it easy to see any impending crisis long before the crisis becomes severe.

• The exponential growth must eventually stop.