Exponential Functions and Decay Rates

Exponential Functions and Decay Rates

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Thomas White

FREE Resource

The video tutorial explains exponential growth and decay, focusing on identifying these in equations and solving related word problems. It covers the basic formula Y = a(1 + r)^T, where 'a' is the initial value, 'r' is the growth or decay rate, and 'T' is the time period. Examples include calculating growth and decay in various scenarios, such as investments, deer population, and mice population doubling. The tutorial emphasizes understanding the difference between growth and decay rates and applying the formula to real-world problems.

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13 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the initial value in an exponential function?

The coefficient of the exponent

The base of the exponent

The starting amount

The rate of change

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In an exponential function, if 1 + r is greater than 1, what does it indicate?

No change

Exponential growth

Linear growth

Exponential decay

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the growth rate if the function is Y = 12 * 1.73^T?

173%

1.73%

73%

12%

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the function Y = 18 * 0.79^X, what does 0.79 represent?

Growth rate

Decay factor

Time period

Initial value

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How can the decay rate be expressed if the function is Y = 18 * 0.79^X?

79% decay

79% growth

21% decay

21% growth

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the growth rate in the function Y = 197 * 2.5^T?

1.5%

250%

150%

50%

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If an investment decreases by 15% per year, what is the decay factor?

1.85

0.85

1.15

0.15

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