Exponential Growth Model

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 12 represent?

• The predicted increase in number of elephants in the refuge each year.

• The predicted decrease in number of elephants in the refuge each year.

• The number of years it will take for the elephant population to stop increasing.

• The initial amount of elephants in the park.

• the initial population of coyotes

• the rate at which the coyotes increase each year

• the rate at which the coyotes decrease each year

• the number of coyotes at the end of 2 years

A newly launched clothing line is rapidly increasing in popularity. Every month, 20% more items of clothing are sold. If 89,090 items were sold this month, how many will be sold in 9 months from now? If necessary, round your answer to nearest whole number.

• 459,685 items.

• 459,685 items.

• 74,278 items

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%

• 104%

• 140%

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990?

• 6191

• 104

• 1990

How often is interest compounded per year?

• monthly

• daily

• quarterly

The 1985 population estimate for India was 762 million, and the population has been growing continuously at a rate of about 2.2% per year. Assuming that this rapid growth rate continues, estimate the population of India in the year 2018.

• about 975 million

• about 1.6 billion

• about 2 billion

Your starting salary at a new company is $34,000 and it increases by 2.5% each year. Which model represents what will your salary be in 5 years?

• y = 34000(1.025)⁵

• y = 5(1.025)³⁴⁰⁰⁰

• y = 34000(1.25)⁵

• y = 34000(2.5)⁵

In 2010 an item costed $9.00. The price of the item increased by 1.5% each year. Which model shows how much will that same item cost in 2030?

• y = 9(1.5)²⁰³⁰

• y = 9(1.015)²⁰³⁰

• y = 9(1.015)²⁰

• y = 20(9)^1.5

You bought $2000 worth of stocks in 2012. The value of the stocks has been increasing by 10% each year. Which model represents how much your stocks are worth today in 2020?

• y = 2000(1.10)⁸

• y = 2000(10)⁸

• y = 2000(1.10)²⁰²⁰

• y = 1.10(2000)⁸