Quiz about Exponential Models

Question 1

Markus sent a chain letter to his friends, asking them to forward the letter to more friends. The relationship between the elapsed time, t, in days, since Markus sent the email, and the total number of people who receive the email, $${P}({t})$$, is modeled by the following function: $$P(t)=6 \cdot(1.43)^{t}$$

Complete the following sentence about the daily percent change in the number of people who receive the email.

Every day $$\%$$ of people are added to the total number of people who receive the email.

Accepted Answer

Covalent bond

Answer

$$43 \%$$

Answer

$$40 \%$$

Answer

$$123 \%$$

Answer

$$100 \%$$

Question 2

After the last ice age began, the number of plant species in South America changed rapidly.

The relationship between the elapsed time, $${t}$$, in years, since the ice age began, and the total number of plant species, $${P}({t})$$, is modeled by the following function: $$P(t)=30,000,000$$. $$(\frac{8}{9})^{t}$$

Complete the following sentence about the yearly rate of change of the number of plant species.

Every year, the number of plant species shrinks by a factor of

Accepted Answer

Covalent bond

Answer

$$\frac{8}{9}$$

Answer

$$0.8$$

Answer

$$1$$

Answer

$$30,000000$$

Question 3

Melanie began studying a sample of the chemical element einsteinium-253, which naturally loses its mass over time.

The relationship between the elapsed time, $${t}$$, in days, since Melanie started studying the sample, and the total mass remaining in the sample, $${M}({t})$$, in micrograms, is modeled by the following function: $$M(t)=169 .(0.96)^{t}$$

Complete the following sentence about the daily percent change in the mass of the sample.

Every year, $$\%$$ of mass is subtracted from the total mass of the sample.

Accepted Answer

Covalent bond

Answer

$$4 \%$$

Answer

$$96 \%$$

Answer

$$100 \%$$

Answer

$$92 \%$$

Question 4

Nora uploaded a funny video on her website, which rapidly gains views over time.

The relationship between the elapsed time, $${t}$$, in days, since Nora uploaded the video, and the total number of views, $${V}({t})$$, is modeled by the following function: $$V(t)=100 \cdot(1.53)^{t}$$

Complete the following sentence about the daily rate of change in the views of the video.

Every day, the number of views by a factor of

Accepted Answer

Covalent bond

Answer

$$1.53$$

Answer

$$53$$

Answer

$$100$$

Answer

$$t$$

Question 5

Darren wanted to see how contagious yawning can be. To better understand this, he conducted a social experiment in which he yawned in front of a large, random crowd and observed how many people yawned as a result.

The relationship between the elapsed time $${t}$$, in minutes, since Darren yawned, and the number of people in the crowd, $${P}({t})$$, who yawned as a result is modeled by the following function: $$P(t)=5 \cdot(4)^{\frac{t}{10.5}}$$

Complete the following sentence about the growth rate of people who yawned in Darren's experiment.

The number of people who yawned quadruples (is multiplied by 4) every minutes.

Accepted Answer

Covalent bond

Answer

$$10.5$$

Answer

$$t$$

Answer

$$5$$

Answer

$$\frac{1}{10 \cdot 5}$$

Exponential Models Algebra 2 Maths Problems and Solutions

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