Exponential Functions and Growth Rates

Exponential Functions and Growth Rates

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains how a population of 17,000 organisms is decreasing by 3.5% each year, using an exponential model. The instructor describes the equation a*(1+r)^t, where 'a' is the initial amount and 'r' is the growth rate, which is negative in this case. The model is simplified to 17,000 * 0.965^t to represent the population decline.

Read more

15 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial population of organisms mentioned in the problem?

17,000

13,000

3,500

1,700

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

By what percentage is the population decreasing each year?

5.5%

2.5%

1.5%

3.5%

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is the problem considered exponential?

Because it involves a constant rate of change

Because it involves a percentage rate of change

Because it involves a quadratic rate of change

Because it involves a linear rate of change

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation format is used to model the exponential change?

a / b^t

a + b^t

a * b^t

a - b^t

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does 'a' represent in the exponential equation?

The growth rate

The initial amount

The final amount

The time period

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the growth rate expressed in the equation?

As a percentage

As a fraction

As a negative decimal

As a positive decimal

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal representation of the 3.5% decrease?

0.035

-0.035

0.35

-0.35

Create a free account and access millions of resources

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

By signing up, you agree to our Terms of Service & Privacy Policy

Already have an account?