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

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)  $y = 1.43 \times 52.03 ^ { t }$

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

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

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)  $60.59 \%$

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)  $P = 1.45 \times 0.68 ^ { t }$

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)  $P = 1.24 \times 0.43 ^ { t }$

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)  $P = 1.48 \times 0.61 ^ { t }$

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)  $N = 5.39 \times 1.25 ^ { t }$

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%

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 $7.65$

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)  $I = \ln M$

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)  $t = 11.65$

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 $y$.

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.

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)  $I = \ln M$

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)

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)  $t = 22.97$

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 $12.11$

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)  $N = 6.56 \times 1.25 ^ { t }$

Exam 4: Exponential Functions

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. $Find an exponential model for the following data set. A) y = 0.7 \times 52.03 ^ { t } B) y = 52.03 \times 0.7 ^ { t } C) y = 52.03 \times 1.43 ^ { t } D) y = 1.43 \times 52.03 ^ { t }$

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

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. $Use exponential regression to determine what happens to y when 1 is added to t. A) y is multiplied by 0.89 . B) \quad y is multiplied by 0.73 . C) 0.73 is added to y . D) 0.89 is added to y .$

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. $Use exponential regression to determine what happens to y when 1 is added to t. A) 1.89 is added to y B) 12.11 is added to y C) \quad y is multiplied by 1.89 D) \quad y is multiplied by 12.11$

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.

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. $Find an exponential model for the following data set. A) y = 0.7 \times 52.03 ^ { t } B) y = 52.03 \times 0.7 ^ { t } C) y = 52.03 \times 1.43 ^ { t } D) y = 1.43 \times 52.03 ^ { t }$

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. $Use exponential regression to determine what happens to y when 1 is added to t. A) y is multiplied by 0.89 . B) \quad y is multiplied by 0.73 . C) 0.73 is added to y . D) 0.89 is added to y .$

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. $Use exponential regression to determine what happens to y when 1 is added to t. A) 1.89 is added to y B) 12.11 is added to y C) \quad y is multiplied by 1.89 D) \quad y is multiplied by 12.11$