Exponential Growth Models

The population of Pallet Town increases by 15% every year. If there are currently 190,000 people living there, what will be the population in 13 years?

If necessary, round your answer to the nearest whole number.

• 1,188,311 people

• 22,972 people

• 1,169,030 people

Tags

CCSS.HSF-LE.A.1C

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1400(1.09)^x

Tags

CCSS.HSF.LE.A.2

The number of research papers in Professor Sycamore area of expertise has been increasing by 5% every year. Given that 30,010 research papers were published this year. Assuming the trend continues, which equation projects the amount of research papers published in x years?

• y = 30,010 (.05)^x

• y = 30,010 (.95)^x

• y = 30,010 (1.05)^x

Tags

CCSS.HSF-LE.A.1C

Katy deposited $90 in a savings account earning 5% interest, compounded quarterly. Which of the following equations could represent the amount of money in her account yearly?

• 
• 
• 

Tags

CCSS.HSF.LE.A.2

Tags

CCSS.HSF-LE.A.1C

• A

• B

• C

• D

Tags

CCSS.HSF-IF.C.8B

• The value of the house increases by 1.04% each year.

• The value of the house increases by 4% each year.

• The value of the house increases by $1,040 each year.

• The value of the house increases by $4,000 each year.

Tags

CCSS.HSF.LE.B.5

Suppose an automobile that originally costs $14,000 was to INCREASE its value by 20% every year. What exponential equation can we create to model this situation?

• y=14000(.20)^x

• y=14000(.80)^x

• y=14000(1.20)^x

• y=14000(1.80)^x

Tags

CCSS.HSF.LE.A.2

• The insect population increased by 14 insects every month

• The insect population decreased by 14 insects every month.

• The insect population increased at a rate of 40% every month.

• The insect population decreased at a rate of 40% every month.

Tags

CCSS.HSF.LE.B.5

A colony of termites is growing continuously at a rate of 6.2% monthly. If the colony starts with 500, how many would there be in one year?

(Enter only the value in the blank. Round to the nearest whole number.)

Mathematical Equivalence

ON

Tags

CCSS.HSF-LE.A.1C