Question 1

The half-life of a certain radioactive substance is 8 years. What is the yearly percentage decay rate for this substance?

Accepted Answer

A)  6.51% 
B)  8.3% 
C)  9.22% 
D)  6.25% 
A)  6.51% 
B)  8.3% 
C)  9.22% 
D)  6.25%

Question 2

A radioactive substance is decaying exponentially with yearly decay factor 0.95. What is the decade decay factor?

Accepted Answer

A)  0.1 
B)  0.99 
C)  9.5 
D)  0.6 
A)  0.1 
B)  0.99 
C)  9.5 
D)  0.6

Question 3

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 0.7 \times 52.01 ^ { t }$ 
B)  $y = 52.01 \times 0.7 ^ { t }$ 
C)  $y = 52.01 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 52.01 ^ {t}$ 
A)  $y = 0.7 \times 52.01 ^ { t }$ 
B)  $y = 52.01 \times 0.7 ^ { t }$ 
C)  $y = 52.01 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 52.01 ^ {t}$

Question 4

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 8.03 \times 0.9 ^ { t }$ 
B)  $y = 0.9 \times 8.03 ^ { t }$ 
C)  $y = 8.03 \times 1.11 ^ { t }$ 
D)  $y = 1.11 \times 8.03 ^ { t }$ 
A)  $y = 8.03 \times 0.9 ^ { t }$ 
B)  $y = 0.9 \times 8.03 ^ { t }$ 
C)  $y = 8.03 \times 1.11 ^ { t }$ 
D)  $y = 1.11 \times 8.03 ^ { t }$

Question 5

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 0.77 \times 3.04 ^ { t}$ 
B)  $y = 1.3 \times 3.04 ^ { t }$ 
C)  $y = 3.04 \times 0.77 ^ {t}$ 
D)  $y = 3.04 \times 1.3 ^ { t }$ 
A)  $y = 0.77 \times 3.04 ^ { t}$ 
B)  $y = 1.3 \times 3.04 ^ { t }$ 
C)  $y = 3.04 \times 0.77 ^ {t}$ 
D)  $y = 3.04 \times 1.3 ^ { t }$

Question 6

Use exponential regression to determine what happens to $y$ when 1 is added to t.

Accepted Answer

A)  $1.08$ is added to $y$ 
B)  $1.17$ is added to $y$ 
C)  $y$ is multiplied by $1.08$ 
D)  $y$ is multiplied by $1.17$ 
A)  $1.08$ is added to $y$ 
B)  $1.17$ is added to $y$ 
C)  $y$ is multiplied by $1.08$ 
D)  $y$ is multiplied by $1.17$

Question 7

The decay factor of an exponential function $P ( t )$ is 0.2. The initial value is 1.15. Then a formula for P is

Accepted Answer

A)  $P = 0.2 \times t ^ { 1.15 }$ 
B)  $P = 0.2 \times 1.15 ^ { t }$ 
C)  $P = 1.15 \times t ^ { 02 }$ 
D)  $P = 1.15 \times 0.2 ^ { t }$ 
A)  $P = 0.2 \times t ^ { 1.15 }$ 
B)  $P = 0.2 \times 1.15 ^ { t }$ 
C)  $P = 1.15 \times t ^ { 02 }$ 
D)  $P = 1.15 \times 0.2 ^ { t }$

Question 8

The size N , in thousands, of a certain animal population after   years is given in the table below. Use exponential regression to model the population size as a function of time.

Accepted Answer

A)  $N = 6.02 \times 1.36 ^ { t }$ 
B)  $N = 1.36 \times 6.02 ^ { t }$ 
C)  $N = 1.34 \times 6.06 ^ { t }$ 
D)  $N = 6.06 \times 1.34 ^ { t }$ 
A)  $N = 6.02 \times 1.36 ^ { t }$ 
B)  $N = 1.36 \times 6.02 ^ { t }$ 
C)  $N = 1.34 \times 6.06 ^ { t }$ 
D)  $N = 6.06 \times 1.34 ^ { t }$

Question 9

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 0.91 \times 3.06 ^ { t }$ 
B)  $y = 1.1 \times 3.06 ^ { t}$ 
C)  $y = 3.06 \times 0.91 ^ { t }$ 
D)  $y = 3.06 \times 1.1 ^ { t }$ 
A)  $y = 0.91 \times 3.06 ^ { t }$ 
B)  $y = 1.1 \times 3.06 ^ { t}$ 
C)  $y = 3.06 \times 0.91 ^ { t }$ 
D)  $y = 3.06 \times 1.1 ^ { t }$

Question 10

If a function decreases by 5% each year, then the yearly decay factor is

Accepted Answer

A)  1.05 
B)  5 
C)  0.05 
D)  0.95 
A)  1.05 
B)  5 
C)  0.05 
D)  0.95

Question 11

A function shows constant percentage growth. Which of the following may be the graph of this function?

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 12

The magnitude of earthquake 1 is 3.6, and the magnitude of earthquake 2 is 6.9. How do their intensities compare?

Accepted Answer

A)  Earthquake 1 is 1995.26 times as intense as earthquake 2. 
B)  Earthquake 1 is 3.3 times as intense as earthquake 2. 
C)  Earthquake 2 is 3.3 times as intense as earthquake 1. 
D)  Earthquake 2 is 1995.26 times as intense as earthquake 1. 
A)  Earthquake 1 is 1995.26 times as intense as earthquake 2. 
B)  Earthquake 1 is 3.3 times as intense as earthquake 2. 
C)  Earthquake 2 is 3.3 times as intense as earthquake 1. 
D)  Earthquake 2 is 1995.26 times as intense as earthquake 1.

Question 13

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 0.67 \times 3.09 ^ { t }$ 
B)  $y = 1.5 \times 3.09 ^ { 2 }$ 
C)  $y = 3.09 \times 0.67 ^ { t }$ 
D)  $y = 3.09 \times 1.5 ^ { t }$ 
A)  $y = 0.67 \times 3.09 ^ { t }$ 
B)  $y = 1.5 \times 3.09 ^ { 2 }$ 
C)  $y = 3.09 \times 0.67 ^ { t }$ 
D)  $y = 3.09 \times 1.5 ^ { t }$

Question 14

The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is $M = \log I .$ Express the relative intensity as a function of the magnitude.

Accepted Answer

A)  $I = 10 ^ {  M }$ 
B)  $I = e ^ { M }$ 
C)  $I = \log M$ 
D)  $I = \ln M$ 
A)  $I = 10 ^ {  M }$ 
B)  $I = e ^ { M }$ 
C)  $I = \log M$ 
D)  $I = \ln M$

Question 15

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 0.7 \times 52.09 ^ { t }$ 
B)  $y = 52.09 \times 0.7 ^ { t }$ 
C)  $y = 52.09 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 52.09 ^ { t }$ 
A)  $y = 0.7 \times 52.09 ^ { t }$ 
B)  $y = 52.09 \times 0.7 ^ { t }$ 
C)  $y = 52.09 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 52.09 ^ { t }$

Question 16

Use exponential regression to determine what happens to $y$ when 1 is added to t. $$\begin{array} { | l | l | l | l | l | l | } 
\hline t & 1.73 & 3.95 & 6.01 & 8.45 & 11.12 \
\hline y & 18.61 & 13.49 & 10.42 & 7.28 & 4.91 \
\hline
\end{array}$$

Accepted Answer

A)  $y$ is multiplied by 0.87. 
B)  $y$ is multiplied by 0.72. 
C)  0.72 is added to $y$ . 
D)  0.87 is added to 
A)  $y$ is multiplied by 0.87. 
B)  $y$ is multiplied by 0.72. 
C)  0.72 is added to $y$ . 
D)  0.87 is added to

Question 17

If $\log ( t )$ is 5.88, then the value of $\log \left( 10 ^ { 156 } t \right) \text { is }$

Accepted Answer

A)  9.17 
B)  7.51 
C)  10.08 
D)  7.44 
A)  9.17 
B)  7.51 
C)  10.08 
D)  7.44

Question 18

Solve the exponential equation $21 = 2.78 \times 1.22 ^ { t }$

Accepted Answer

A)  $t = 9.74$ 
B)  $t = 14.93$ 
C)  $t = 10.17$ 
D)  $t = 10.32$ 
A)  $t = 9.74$ 
B)  $t = 14.93$ 
C)  $t = 10.17$ 
D)  $t = 10.32$

Question 19

A radioactive substance is decaying exponentially with yearly decay factor 0.93. What is the decade decay factor?

Accepted Answer

A)  0.09 
B)  0.99 
C)  9.3 
D)  0.48 
A)  0.09 
B)  0.99 
C)  9.3 
D)  0.48

Question 20

If $\log ( t )$ is 2.1, then the value of $\log \left( 10 ^ { 322 } t \right) \text { is }$

Accepted Answer

A)  6.76 
B)  6.11 
C)  7.53 
D)  5.32 
A)  6.76 
B)  6.11 
C)  7.53 
D)  5.32

The half-life of a certain radioactive substance is 8 years. What is the yearly percentage decay rate for this substance?

A radioactive substance is decaying exponentially with yearly decay factor 0.95. What is the decade decay factor?

Find an exponential model for the following data set.

Find an exponential model for the following data set.

Find an exponential model for the following data set.

Use exponential regression to determine what happens to $y$ when 1 is added to t.

The decay factor of an exponential function $P ( t )$ is 0.2. The initial value is 1.15. Then a formula for P is

The size N , in thousands, of a certain animal population after years is given in the table below. Use exponential regression to model the population size as a function of time.

Find an exponential model for the following data set.

If a function decreases by 5% each year, then the yearly decay factor is

A function shows constant percentage growth. Which of the following may be the graph of this function?

The magnitude of earthquake 1 is 3.6, and the magnitude of earthquake 2 is 6.9. How do their intensities compare?

Find an exponential model for the following data set.

The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is $M = \log I .$ Express the relative intensity as a function of the magnitude.

Find an exponential model for the following data set.

Use exponential regression to determine what happens to $y$ when 1 is added to t. t 1.73 3.95 6.01 8.45 11.12 y 18.61 13.49 10.42 7.28 4.91

If $\log ( t )$ is 5.88, then the value of $\log \left( 10 ^ { 156 } t \right) \text { is }$

Solve the exponential equation $21 = 2.78 \times 1.22 ^ { t }$

A radioactive substance is decaying exponentially with yearly decay factor 0.93. What is the decade decay factor?

If $\log ( t )$ is 2.1, then the value of $\log \left( 10 ^ { 322 } t \right) \text { is }$

Functions

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Filters

Exam 4: Exponential Functions

The half-life of a certain radioactive substance is 8 years. What is the yearly percentage decay rate for this substance?

A radioactive substance is decaying exponentially with yearly decay factor 0.95. What is the decade decay factor?

Find an exponential model for the following data set.

Find an exponential model for the following data set.

Find an exponential model for the following data set.

Use exponential regression to determine what happens to yyy when 1 is added to t.

The decay factor of an exponential function P(t)P ( t )P(t) is 0.2. The initial value is 1.15. Then a formula for P is

The size N , in thousands, of a certain animal population after years is given in the table below. Use exponential regression to model the population size as a function of time.

Find an exponential model for the following data set.

If a function decreases by 5% each year, then the yearly decay factor is

A function shows constant percentage growth. Which of the following may be the graph of this function?

The magnitude of earthquake 1 is 3.6, and the magnitude of earthquake 2 is 6.9. How do their intensities compare?

Find an exponential model for the following data set.

The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is M=log⁡I.M = \log I .M=logI. Express the relative intensity as a function of the magnitude.

Find an exponential model for the following data set.

Use exponential regression to determine what happens to yyy when 1 is added to t. t 1.73 3.95 6.01 8.45 11.12 y 18.61 13.49 10.42 7.28 4.91

If log⁡(t)\log ( t )log(t) is 5.88, then the value of log⁡(10156t) is \log \left( 10 ^ { 156 } t \right) \text { is }log(10156t) is

Solve the exponential equation 21=2.78×1.22t21 = 2.78 \times 1.22 ^ { t }21=2.78×1.22t

A radioactive substance is decaying exponentially with yearly decay factor 0.93. What is the decade decay factor?

If log⁡(t)\log ( t )log(t) is 2.1, then the value of log⁡(10322t) is \log \left( 10 ^ { 322 } t \right) \text { is }log(10322t) is

Functions

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Filters

Use exponential regression to determine what happens to $y$ when 1 is added to t.

The decay factor of an exponential function $P ( t )$ is 0.2. The initial value is 1.15. Then a formula for P is

The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is $M = \log I .$ Express the relative intensity as a function of the magnitude.

Use exponential regression to determine what happens to $y$ when 1 is added to t. t 1.73 3.95 6.01 8.45 11.12 y 18.61 13.49 10.42 7.28 4.91

If $\log ( t )$ is 5.88, then the value of $\log \left( 10 ^ { 156 } t \right) \text { is }$

Solve the exponential equation $21 = 2.78 \times 1.22 ^ { t }$

If $\log ( t )$ is 2.1, then the value of $\log \left( 10 ^ { 322 } t \right) \text { is }$