Quiz about Exponential Growth And Decay

Question 1

Functions $$f(x)$$ and $$g(x)$$ are given.

$$f(x)=2^{x}$$

$$g(x)=2 x$$

Which statement about $$f(x)$$ and $$g(x)$$ is true?

Accepted Answer

Covalent bond

Answer

For all values of $$x$$ where $$x>2$$, $$f(x)>g(x)$$

Answer

For all values of $$x$$ where $$x>2$$, $$f(x)<g(x)$$

Answer

For all values of $$x$$,$$g(x)>f(x)$$

Answer

For all values of $$x$$,$$f(x)>g(x)$$

Question 2

Which situation describes a quantity that increases by a constant percent rate?

Accepted Answer

Covalent bond

Answer

The size of one photo is $$15 \%$$ larger than the size of another photo.

Answer

The number of plants in a pond is $$85 \%$$ of the number from the previous year.

Answer

The population of one city is $$85 \%$$ greater than the population of another city.

Answer

The number of magazine subscribers each year is $$15 \%$$ greater than the previous year.

Question 3

A scientist is studying wildlife. She estimates the population of bats in her state to be $$270,000$$ . She predicts the population to grow at an average annual rate of $$2.9$$ percent.

Using the scientist's prediction, create an equation that models the population of bats, $$y$$, after $${x}$$ years.

Accepted Answer

Covalent bond

Answer

$$y=270000(1.029)^{x}$$

Answer

$$270000(1.29)^{x}$$

Answer

$$270000(2.9)^{x}$$

Answer

None of the above

Question 4

Alfred gathers data on a company that buys equipment.

- The company buys $$15,000$$ dollar worth of equipment at the beginning of the year $$2018$$ .

- The equipment is estimated to decrease in value at a rate of $$12.5 \%$$ per year.

Alfred wants to know the minimum number of years, $$t$$, after which the value of the company's new equipment will be less than 8,000 dollar. He creates the inequality $$15,000(1.25)^{t}<8,000$$. Alfred's inequality is incorrect.

Which change will correct the inequality?

Accepted Answer

Covalent bond

Answer

replacing $$0.125$$ with $$0.875$$

Answer

replacing $$0.125$$ with $$12.5$$

Answer

replacing $$8000$$ with $$7000$$

Answer

replacing $$15000$$ with $$2,018$$

Ohio State Exponential Growth And Decay Algebra 1 Maths Problems and Solutions

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