Quiz about Logistic and Exponential Models

Question 1

How many market-sized oysters were there in 1994?

Accepted Answer

218 million market-sized oysters

Answer

5089 million market-sized oysters

Answer

22.344 million market-sized oysters

Answer

282.9 million market-sized oysters

Question 2

A green energy campaign is trying to convince households in a target area to switch from incandescent to florescent lightbulbs. There are 241,224 households in this target area.

Initially 184 households make the change. Market research indicates that, in the absence of limiting factors, we could increase that number by 20% each month.

Put K, b, and r together into the correct logistic model for this situation!

Accepted Answer

$$N\left(t\right)=\frac{241224}{1+1310e^{-0.182t}}$$

Answer

$$N\left(t\right)=\frac{241224}{1311^{-0.182t}}$$

Answer

$$N\left(t\right)=\frac{241224}{1+1310e^{0.182t}}$$

Answer

$$N\left(t\right)=\frac{241124}{1+1310e^{-0.182}}$$

Question 3

As reported in the Washington Post on Thursday, April 2, 2020, the number of reported Carona Virus cases in the Washington DC metropolitan area was 4698. On March 5, the first 3 cases were reported. Using an exponential regression, use the above data to estimate the number of cases in the DC metropolitan area on April 6.

Accepted Answer

7945

Answer

7495

Answer

9745

Answer

9475

Question 4

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?

Accepted Answer

y=14000(1.20)^x

Answer

y=14000(.20)^x

Answer

y=14000(.80)^x

Answer

y=14000(1.80)^x

Question 5

A chemist has a 100-gram sample of a radioactive material. He records the amount of radioactive material every week for 6 weeks and obtains the following data: Find the exponential model of the function.

Accepted Answer

y = 100(.87)^x

Answer

y = 100(8.7)^x

Answer

y = 100(1.87)^x

Answer

y = 100(.13)^x

Question 6

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

Accepted Answer

y=15,000(0.92)^x

Answer

y=8(15,000)^x

Answer

y=15,000(1.08)^x

Answer

y=15,000(0.08)^x

Question 7

Find the exponential model of the function.

(USE DESMOS)

Accepted Answer

y = 100(.88)^x

Answer

y = 100(8.8)^x

Answer

y = 100(1.88)^x

Answer

y = 100(.12)^x

Question 8

A baby is born 18 inches long and grows to an adult height of 73 inches. In the absence of limiting factors, this child's growth rate would be 23% per year. Put everything together into a logistic model of this situation!

Accepted Answer

$$H\left(t\right)=\frac{73}{1+3.056e^{-0.207t}}$$

Answer

$$H\left(t\right)=\frac{73}{1+3.056^{-0.207t}}$$

Answer

$$H\left(t\right)=\frac{73}{1+18e^{-0.207t}}$$

Answer

$$H\left(t\right)=\frac{73}{4.056e^{-0.207t}}$$

Question 9

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 10

How many employees will there be after 3 years?

Accepted Answer

12,386 employees

Answer

14,000 employees

Answer

40,360 employees

Answer

15,748 employees

Question 11

Find the upper asymptote for the logistic function $$f\left(x\right)=\frac{60}{1+4e^{-2x}}$$ .

Accepted Answer

$$y=60$$

Answer

$$y=120$$

Answer

$$y=15$$

Answer

$$y=12$$

Question 12

This graph shows which growth model?

Accepted Answer

logistic growth model

Answer

exponential growth model

Answer

linear growth model

Answer

quadratic growth model

Question 13

Does the graph represent an exponential growth or an exponential decay function?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Logistic and Exponential Models

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics