Question 1

The formula for an exponential function is $Y = 643 \times 0.48 ^ { t }$ Then the decay factor is:

Accepted Answer

A)  643 
B)  $Y$ 
C)    
D)  0.48 
A)  643 
B)  $Y$ 
C)    
D)  0.48

Question 2

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 0.7 \times 52.03 ^ { t }$ 
B)  $y = 52.03 \times 0.7 ^ { t }$ 
C)  $y = 52.03 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 52.03 ^ { t }$ 
A)  $y = 0.7 \times 52.03 ^ { t }$ 
B)  $y = 52.03 \times 0.7 ^ { t }$ 
C)  $y = 52.03 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 52.03 ^ { t }$

Question 3

The formula for an exponential function is $Y = 638 \times 0.57 ^ { t }$ . Then the decay factor is:

Accepted Answer

A)  638 
B)  $Y$ 
C)    
D)  0.57 
A)  638 
B)  $Y$ 
C)    
D)  0.57

Question 4

$$\text { If } \log ( t ) \text { is } 4.29 \text {, then the value of } \log \left( 10 ^ { 18 } t \right) \text { is }$$

Accepted Answer

A)  7.72 
B)  6.77 
C)  7.8 
D)  6.09 
A)  7.72 
B)  6.77 
C)  7.8 
D)  6.09

Question 5

The size N , in thousands, of a certain animal population after   years is given in the table below. By what percentage can the population be expected to grow over any 6-year period?

Accepted Answer

A)  $48.67 \%$ 
B)  $48 \%$ 
C)  $58.69 \%$ 
D)  $60.59 \%$ 
A)  $48.67 \%$ 
B)  $48 \%$ 
C)  $58.69 \%$ 
D)  $60.59 \%$

Question 6

The decay factor of an exponential function $P ( t )$ is 0.68. The initial value is 1.45. Then a formula for P is

Accepted Answer

A)  $\rho = 0.68 \times t ^ { 1.45 }$ 
B)  $P = 0.68 \times 1.45 ^ {t }$ 
C)  $P = 1.45 \times t ^ { 0.68 }$ 
D)  $P = 1.45 \times 0.68 ^ { t }$ 
A)  $\rho = 0.68 \times t ^ { 1.45 }$ 
B)  $P = 0.68 \times 1.45 ^ {t }$ 
C)  $P = 1.45 \times t ^ { 0.68 }$ 
D)  $P = 1.45 \times 0.68 ^ { t }$

Question 7

The decay factor of an exponential function $P ( t )$ is 0.43. The initial value is 1.24. Then a formula for P is

Accepted Answer

A)  $P = 0.43 \times t ^ { 124 }$ 
B)  $P = 0.43 \times 1.24 ^ { t }$ 
C)  $P = 1.24 \times t ^ { 0.43 }$ 
D)  $P = 1.24 \times 0.43 ^ { t }$ 
A)  $P = 0.43 \times t ^ { 124 }$ 
B)  $P = 0.43 \times 1.24 ^ { t }$ 
C)  $P = 1.24 \times t ^ { 0.43 }$ 
D)  $P = 1.24 \times 0.43 ^ { t }$

Question 8

The decay factor of an exponential function $P ( t )$ is 0.61. The initial value is 1.48. Then a formula for P is

Accepted Answer

A)  $P = 0.61 \times t ^ { 1.48 }$ 
B)  $P = 0.61 \times 1.48 ^ { t }$ 
C)  $P = 1.48 \times t ^ { 0.61 }$ 
D)  $P = 1.48 \times 0.61 ^ { t }$ 
A)  $P = 0.61 \times t ^ { 1.48 }$ 
B)  $P = 0.61 \times 1.48 ^ { t }$ 
C)  $P = 1.48 \times t ^ { 0.61 }$ 
D)  $P = 1.48 \times 0.61 ^ { t }$

Question 9

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)  $N = 5.29 \times 1.28 ^ { t }$ 
B)  $N = 1.28 \times 5.29 ^ { t }$ 
C)  $N = 1.25 \times 5.39 ^ { t }$ 
D)  $N = 5.39 \times 1.25 ^ { t }$ 
A)  $N = 5.29 \times 1.28 ^ { t }$ 
B)  $N = 1.28 \times 5.29 ^ { t }$ 
C)  $N = 1.25 \times 5.39 ^ { t }$ 
D)  $N = 5.39 \times 1.25 ^ { t }$

Question 10

The monthly percentage decay rate for a certain exponential function is 8%. By what per- centage does the function decay in a week? (Assume there are four weeks in a month.)

Accepted Answer

A)  2.06% 
B)  2.28% 
C)  1.88% 
D)  2% 
A)  2.06% 
B)  2.28% 
C)  1.88% 
D)  2%

Question 11

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

Accepted Answer

A)  $1.79$ is added to $y$ 
B)  $7.65$ is added to $y$ 
C)  $y$ is multiplied by $1.79$ 
D)  $y$ is multiplied by $7.65$ 
A)  $1.79$ is added to $y$ 
B)  $7.65$ is added to $y$ 
C)  $y$ is multiplied by $1.79$ 
D)  $y$ is multiplied by $7.65$

Question 12

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 13

Solve the exponential equation $24 = 2.5 \times 1.23 ^ {t}$

Accepted Answer

A)  $t = 10.91$ 
B)  $t = 17.48$ 
C)  $t = 10.93$ 
D)  $t = 11.65$ 
A)  $t = 10.91$ 
B)  $t = 17.48$ 
C)  $t = 10.93$ 
D)  $t = 11.65$

Question 14

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

Accepted Answer

A)  $y$ is multiplied by $0.89$. 
B)  $\quad y$ is multiplied by $0.73$. 
C)  $0.73$ is added to $y$. 
D)  $0.89$ is added to $y$. 
A)  $y$ is multiplied by $0.89$. 
B)  $\quad y$ is multiplied by $0.73$. 
C)  $0.73$ is added to $y$. 
D)  $0.89$ is added to $y$.

Question 15

The magnitude of earthquake 1 is 3.7, and the magnitude of earthquake 2 is 5.6. How do their intensities compare?

Accepted Answer

A)  Earthquake 1 is 79.43 times as intense as earthquake 2. 
B)  Earthquake 1 is 1.9 times as intense as earthquake 2. 
C)  Earthquake 2 is 1.9 times as intense as earthquake 1. 
D)  Earthquake 2 is 79.43 times as intense as earthquake 1. 
A)  Earthquake 1 is 79.43 times as intense as earthquake 2. 
B)  Earthquake 1 is 1.9 times as intense as earthquake 2. 
C)  Earthquake 2 is 1.9 times as intense as earthquake 1. 
D)  Earthquake 2 is 79.43 times as intense as earthquake 1.

Question 16

The magnitude M of an earthquake depends on the relative intensity I of the quake. The relationship is $M = \log L$ 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 17

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 18

Solve the equation $14.84 \times 1.08 ^ { t } = 52.89 \times 1.02 ^ { t }$

Accepted Answer

A)  $t = 21.77$ 
B)  $t = 634.17$ 
C)  $t = 22.23$ 
D)  $t = 22.97$ 
A)  $t = 21.77$ 
B)  $t = 634.17$ 
C)  $t = 22.23$ 
D)  $t = 22.97$

Question 19

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

Accepted Answer

A)  $1.89$ is added to $y$ 
B)  $12.11$ is added to $y$ 
C)  $\quad y$ is multiplied by $1.89$ 
D)  $\quad y$ is multiplied by $12.11$ 
A)  $1.89$ is added to $y$ 
B)  $12.11$ is added to $y$ 
C)  $\quad y$ is multiplied by $1.89$ 
D)  $\quad y$ is multiplied by $12.11$

Question 20

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)  $N = 6.34 \times 1.32 ^ { t }$ 
B)  $N = 1.32 \times 6.34 ^ { t }$ 
C)  $N = 1.25 \times 6.56 ^ { t }$ 
D)  $N = 6.56 \times 1.25 ^ { t }$ 
A)  $N = 6.34 \times 1.32 ^ { t }$ 
B)  $N = 1.32 \times 6.34 ^ { t }$ 
C)  $N = 1.25 \times 6.56 ^ { t }$ 
D)  $N = 6.56 \times 1.25 ^ { t }$

The formula for an exponential function is $Y = 643 \times 0.48 ^ { t }$ Then the decay factor is:

Find an exponential model for the following data set.

The formula for an exponential function is $Y = 638 \times 0.57 ^ { t }$ . Then the decay factor is:

$\text { If } \log ( t ) \text { is } 4.29 \text {, then the value of } \log \left( 10 ^ { 18 } t \right) \text { is }$

The size N , in thousands, of a certain animal population after years is given in the table below. By what percentage can the population be expected to grow over any 6-year period?

The decay factor of an exponential function $P ( t )$ is 0.68. The initial value is 1.45. Then a formula for P is

The decay factor of an exponential function $P ( t )$ is 0.43. The initial value is 1.24. Then a formula for P is

The decay factor of an exponential function $P ( t )$ is 0.61. The initial value is 1.48. 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.

The monthly percentage decay rate for a certain exponential function is 8%. By what per- centage does the function decay in a week? (Assume there are four weeks in a month.)

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

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.

Solve the exponential equation $24 = 2.5 \times 1.23 ^ {t}$

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

The magnitude of earthquake 1 is 3.7, and the magnitude of earthquake 2 is 5.6. How do their intensities compare?

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

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

Solve the equation $14.84 \times 1.08 ^ { t } = 52.89 \times 1.02 ^ { t }$

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

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.

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Graphical and Tabular Analysi

Straight Lines and Linear Functions

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Exam 4: Exponential Functions

The formula for an exponential function is Y=643×0.48tY = 643 \times 0.48 ^ { t }Y=643×0.48t Then the decay factor is:

Find an exponential model for the following data set.

The formula for an exponential function is Y=638×0.57tY = 638 \times 0.57 ^ { t }Y=638×0.57t . Then the decay factor is:

If log⁡(t) is 4.29, then the value of log⁡(1018t) is \text { If } \log ( t ) \text { is } 4.29 \text {, then the value of } \log \left( 10 ^ { 18 } t \right) \text { is } If log(t) is 4.29, then the value of log(1018t) is

The size N , in thousands, of a certain animal population after years is given in the table below. By what percentage can the population be expected to grow over any 6-year period?

The decay factor of an exponential function P(t)P ( t )P(t) is 0.68. The initial value is 1.45. Then a formula for P is

The decay factor of an exponential function P(t)P ( t )P(t) is 0.43. The initial value is 1.24. Then a formula for P is

The decay factor of an exponential function P(t)P ( t )P(t) is 0.61. The initial value is 1.48. 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.

The monthly percentage decay rate for a certain exponential function is 8%. By what per- centage does the function decay in a week? (Assume there are four weeks in a month.)

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

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

Solve the exponential equation 24=2.5×1.23t24 = 2.5 \times 1.23 ^ {t}24=2.5×1.23t

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

The magnitude of earthquake 1 is 3.7, and the magnitude of earthquake 2 is 5.6. How do their intensities compare?

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

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

Solve the equation 14.84×1.08t=52.89×1.02t14.84 \times 1.08 ^ { t } = 52.89 \times 1.02 ^ { t }14.84×1.08t=52.89×1.02t

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

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.

Functions

Graphical and Tabular Analysi

Straight Lines and Linear Functions

Filters

The formula for an exponential function is $Y = 643 \times 0.48 ^ { t }$ Then the decay factor is:

The formula for an exponential function is $Y = 638 \times 0.57 ^ { t }$ . Then the decay factor is:

$\text { If } \log ( t ) \text { is } 4.29 \text {, then the value of } \log \left( 10 ^ { 18 } t \right) \text { is }$

The decay factor of an exponential function $P ( t )$ is 0.68. The initial value is 1.45. Then a formula for P is

The decay factor of an exponential function $P ( t )$ is 0.43. The initial value is 1.24. Then a formula for P is

The decay factor of an exponential function $P ( t )$ is 0.61. The initial value is 1.48. Then a formula for P is

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

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.

Solve the exponential equation $24 = 2.5 \times 1.23 ^ {t}$

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

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

Solve the equation $14.84 \times 1.08 ^ { t } = 52.89 \times 1.02 ^ { t }$

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