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Exponential Growth and Decay

Authored by Wayground Content

Mathematics

9th Grade

Exponential Growth and Decay
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15 questions

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1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

How do you determine if a function represents growth or decay?

If the base (b) is greater than 1, it represents growth; if the base (b) is between 0 and 1, it represents decay.

If the base (b) is equal to 1, it represents growth; if the base (b) is less than 0, it represents decay.

If the base (b) is less than 1, it represents growth; if the base (b) is greater than 1, it represents decay.

If the base (b) is negative, it represents growth; if the base (b) is positive, it represents decay.

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the effect of a higher growth rate on exponential growth?

A higher growth rate results in a steeper increase in the quantity over time.

A higher growth rate leads to a slower increase in the quantity over time.

A higher growth rate has no effect on the quantity over time.

A higher growth rate causes the quantity to decrease over time.

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

If a population of 1000 increases by 10% each year, what will it be after 3 years?

Approximately 1200

Approximately 1331

Approximately 1500

Approximately 1100

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the effect of a higher decay rate on exponential decay?

A higher decay rate results in a slower decrease in the quantity over time.

A higher decay rate results in a faster decrease in the quantity over time.

A higher decay rate has no effect on the quantity over time.

A higher decay rate leads to an increase in the quantity over time.

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Classify the model A=10(1.01)^3 as Exponential GROWTH or DECAY.

Exponential GROWTH

Exponential DECAY

Linear GROWTH

Quadratic GROWTH

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the formula for Exponential Growth?

A = P(1 + r)^t

A = P(1 - r)^t

A = P * e^(rt)

A = P(1 + rt)

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

What is the common ratio in the function f(x) = 200(0.9)^x?

0.5

0.7

0.9

1.1

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