Quiz about Population Growth and Decay Problems

Question 1

A town has a population of 8,000 people, and it grows at a rate of 3% per year. Which equation represents the population after t years?

Accepted Answer

$$P(t)=8000(1.03)^t$$

Answer

$$P(t)=8000(0.97)^t$$

Answer

$$P(t)=8000(1.03)^t−8000$$

Answer

$$P(t)=8000(1.03t)$$

Question 2

A city's population is 12,000 and it decreases by 2% annually. Which equation represents the population after t years?

Accepted Answer

$$P(t)=12000(0.98)^t$$

Answer

$$P(t)=12000(1.02t)$$

Answer

$$P(t)=12000(1.02)^t$$

Answer

$$P(t)=12000(0.98t)$$

Question 3

A population of 5,000 grows by 4% each year. What is the population after 5 years?

Accepted Answer

6083 people

Answer

5849 people

Answer

5000 people

Answer

4077 people

Question 4

A village has a population of 2,500 and it increases by 5% per year. Which equation represents the population after t years?

Accepted Answer

$$P(t)=2500(1.05)^t$$

Answer

$$P(t)=2500(1.05)^t−2500$$

Answer

$$P(t)=2500(0.95)^t$$

Answer

$$P(t)=2500(1.05t)$$

Question 5

A city's population is 15,000 and it increases by 6% annually. Which equation represents the population after t years?

Accepted Answer

$$P(t)=15000(1.06)^t$$

Answer

$$P(t)=15000(1.06t)$$

Answer

$$P(t)=15000(1.06)^t−15000$$

Answer

$$P(t)=15000(0.94)^t$$

Question 6

A town's population is 10,000 and it decreases by 1% per year. Which equation represents the population after t years?

Accepted Answer

$$P(t)=10000(0.99)^t$$

Answer

$$P(t)=10000(1.01)^t$$

Answer

$$P(t)=10000(1.01t)$$

Answer

$$P(t)=10000(0.99t)$$

Question 7

A village has a population of 3,000 and it grows by 7% each year. Which equation represents the population after 3 years?

Accepted Answer

3675 people

Answer

3435 people

Answer

2413 people

Answer

3000 people

Question 8

Which equation matches the following:

Initial value = 120

Decay Rate = 50%

Accepted Answer

$$A(t)=120(0.5)^t$$

Answer

$$A(t)=120(2)^t$$

Answer

$$A(t)=120e^{0.5t}$$

Answer

$$A(t)=120(1.5)^t$$

Question 9

Which equation matches the table?

Accepted Answer

$$A(t)=120(0.5)^t$$

Answer

$$A(t)=120(2)^t$$

Answer

$$A(t)=120e^{0.5t}$$

Answer

$$A(t)=120(1.5)^t$$

Question 10

Which equation matches the table?

Accepted Answer

$$V(t)=15000(0.92)^t$$

Answer

$$V(t)=15000(1.08)^t$$

Answer

$$V(t)=15000(0.08)^t$$

Answer

$$V(t)=15000(.90)^t$$

Question 11

Is the equation representing growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 12

Does the following equation represent growth or decay?

Accepted Answer

Growth

Answer

Decay

Question 13

Does the following equation represent growth or decay?

Accepted Answer

Growth

Answer

Decay

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