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

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

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

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?

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• 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.

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

• 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.

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

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