Question 1

Use exponential regression to determine what happens to $$y$$ when t is increased by 1 unit.

Accepted Answer

A)  $y$ is multiplied by $2.18$. 
B)  $2.18$ is added to $y$. 
C)  $1.31$ is added to $y$. 
D)  $y$ is multiplied by $1.31$.

Question 2

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

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 3

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

Accepted Answer

A)  $\quad y$ is multiplied by $0.86$. 
B)  $\quad y$ is multiplied by $0.68$. 
C)  $0.68$ is added to $y$. 
D)  $0.86$ is added to $y$.

Question 4

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)  $36.97 \%$ 
B)  $36 \%$ 
C)  $41.85 \%$ 
D)  $41.87 \%$

Question 5

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

Question 6

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

Question 7

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit.

Accepted Answer

A)  $\quad y$ is multiplied by $2.24$. 
B)  $2.24$ is added to $y$ 
C)  $\quad 1.32$ is added to $y$. 
D)  $y$ is multiplied by $1.32$.

Question 8

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

Accepted Answer

A) 
 
B) 
 
C) 
 
D)

Question 9

The formula for an exponential function is $y = 53 \times 0.93 ^ { t }$ , where  is measured in months. Then the monthly percentage decay rate for $y$ is

Accepted Answer

A)  0.93% 
B)  7.01% 
C)  0.07% 
D)  7%

Question 10

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

Accepted Answer

A)  $\quad y$ is multiplied by $0.87$. 
B)  $\quad y$ is multiplied by $0.75$. 
C)  $0.75$ is added to $y$. 
D)  $\quad 0.87$ is added to $y$.

Question 11

$$\text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is }$$

Accepted Answer

A)  8.26 
B)  8.92 
C)  9.2 
D)  9.09

Question 12

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit.

Accepted Answer

A)  $y$ is multiplied by 2 . 
B)  2 is added to $y$. 
C)  $1.34$ is added to $y$. 
D)  $\quad y$ is multiplied by $1.34$.

Question 13

The monthly percentage decay rate for a certain exponential function is 6%. By what per- centage does the function decay in a week? (Assume there are four weeks in a month.)

Accepted Answer

A)  1.53% 
B)  2.21% 
C)  1.27% 
D)  1.5%

Question 14

The magnitude of earthquake 1 is 5.6. If earthquake 2 is 81.28 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

Accepted Answer

A)  7.5 
B)  3.7 
C)  86.9 
D)  8.2

Question 15

If $\log ( t )$ is 7.52, then the value of $\log ( 39.81 t )$ is

Accepted Answer

A)  12.03 
B)  9.12 
C)  12.61 
D)  9.88

Question 16

The magnitude of earthquake 1 is 5.8. If earthquake 2 is 39.81 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

Accepted Answer

A)  7.4 
B)  4.2 
C)  45.6 
D)  8.2

Question 17

If $\log ( t )$ is 2.23, then the value of $\log \left( 10 ^ { 386 } t \right)$ is

Accepted Answer

A)  8.61 
B)  7.08 
C)  9.55 
D)  6.09

Question 18

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 535.09 \times 0.7 ^ { t }$ 
B)  $y = 0.7 \times 535.09 ^ { t }$ 
C)  $y = 535.09 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 535.09 ^ { t }$

Question 19

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 535.06 \times 0.7 ^ { t }$ 
B)  $y = 0.7 \times 535.06 ^ { t }$ 
C)  $y = 535.06 \times 1.43 ^ { t }$ 
D)  $y = 1.43 \times 535.06 ^ { t }$

Question 20

Find an exponential model for the following data set.

Accepted Answer

A)  $y = 535.01 \times 0.8 ^ { t }$ 
B)  $y = 0.8 \times 535.01 ^ { t }$ 
C)  $y = 535.01 \times 1.25 ^ { y }$ 
D)  $y = 1.25 \times 535.01 ^ { y }$

Exam 4: Exponential Functions

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit.

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

Use exponential regression to determine what happens to $y$ when 1 is added to t. $Use exponential regression to determine what happens to y when 1 is added to t. A) \quad y is multiplied by 0.86 . B) \quad y is multiplied by 0.68 . C) 0.68 is added to y . D) 0.86 is added to y .$

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

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

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit. $Use exponential regression to determine what happens to y when t is increased by 1 unit. A) \quad y is multiplied by 2.24 . B) 2.24 is added to y C) \quad 1.32 is added to y . D) y is multiplied by 1.32 .$

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

Use exponential regression to determine what happens to $y$ when 1 is added to t. $Use exponential regression to determine what happens to y when 1 is added to t. A) \quad y is multiplied by 0.87 . B) \quad y is multiplied by 0.75 . C) 0.75 is added to y . D) \quad 0.87 is added to y .$

$\text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is }$

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit. $Use exponential regression to determine what happens to y when t is increased by 1 unit. A) y is multiplied by 2 . B) 2 is added to y . C) 1.34 is added to y . D) \quad y is multiplied by 1.34 .$

The monthly percentage decay rate for a certain exponential function is 6%. By what per- centage does the function decay in a week? (Assume there are four weeks in a month.)

The magnitude of earthquake 1 is 5.6. If earthquake 2 is 81.28 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

If $\log ( t )$ is 7.52, then the value of $\log ( 39.81 t )$ is

The magnitude of earthquake 1 is 5.8. If earthquake 2 is 39.81 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

If $\log ( t )$ is 2.23, then the value of $\log \left( 10 ^ { 386 } t \right)$ is

Find an exponential model for the following data set. $Find an exponential model for the following data set. A) y = 535.09 \times 0.7 ^ { t } B) y = 0.7 \times 535.09 ^ { t } C) y = 535.09 \times 1.43 ^ { t } D) y = 1.43 \times 535.09 ^ { t }$

Find an exponential model for the following data set. $Find an exponential model for the following data set. A) y = 535.06 \times 0.7 ^ { t } B) y = 0.7 \times 535.06 ^ { t } C) y = 535.06 \times 1.43 ^ { t } D) y = 1.43 \times 535.06 ^ { t }$

Find an exponential model for the following data set. $Find an exponential model for the following data set. A) y = 535.01 \times 0.8 ^ { t } B) y = 0.8 \times 535.01 ^ { t } C) y = 535.01 \times 1.25 ^ { y } D) y = 1.25 \times 535.01 ^ { y }$

Exam 4: Exponential Functions

Use exponential regression to determine what happens to yyy when t is increased by 1 unit.

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

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. By what percentage can the population be expected to grow over any 6-year period?

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

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

Use exponential regression to determine what happens to yyy when t is increased by 1 unit.

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

The formula for an exponential function is y=53×0.93ty = 53 \times 0.93 ^ { t }y=53×0.93t , where is measured in months. Then the monthly percentage decay rate for yyy is

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

If log⁡(t) is 7.87, then the value of log⁡(11.22t) is \text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is } If log(t) is 7.87, then the value of log(11.22t) is

Use exponential regression to determine what happens to yyy when t is increased by 1 unit.

The monthly percentage decay rate for a certain exponential function is 6%. By what per- centage does the function decay in a week? (Assume there are four weeks in a month.)

The magnitude of earthquake 1 is 5.6. If earthquake 2 is 81.28 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

If log⁡(t) \log ( t ) log(t) is 7.52, then the value of log⁡(39.81t) \log ( 39.81 t ) log(39.81t) is

The magnitude of earthquake 1 is 5.8. If earthquake 2 is 39.81 times as intense as earth- quake 1, find the magnitude of earthquake 2. Round your answer to 1 decimal place.

If log⁡(t) \log ( t ) log(t) is 2.23, then the value of log⁡(10386t) \log \left( 10 ^ { 386 } t \right) log(10386t) is

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 t is increased by 1 unit.

Use exponential regression to determine what happens to $y$ when 1 is added to t. $Use exponential regression to determine what happens to y when 1 is added to t. A) \quad y is multiplied by 0.86 . B) \quad y is multiplied by 0.68 . C) 0.68 is added to y . D) 0.86 is added to y .$

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit. $Use exponential regression to determine what happens to y when t is increased by 1 unit. A) \quad y is multiplied by 2.24 . B) 2.24 is added to y C) \quad 1.32 is added to y . D) y is multiplied by 1.32 .$

Use exponential regression to determine what happens to $y$ when 1 is added to t. $Use exponential regression to determine what happens to y when 1 is added to t. A) \quad y is multiplied by 0.87 . B) \quad y is multiplied by 0.75 . C) 0.75 is added to y . D) \quad 0.87 is added to y .$

$\text { If } \log ( t ) \text { is } 7.87 \text {, then the value of } \log ( 11.22 t ) \text { is }$

Use exponential regression to determine what happens to $y$ when t is increased by 1 unit. $Use exponential regression to determine what happens to y when t is increased by 1 unit. A) y is multiplied by 2 . B) 2 is added to y . C) 1.34 is added to y . D) \quad y is multiplied by 1.34 .$

If $\log ( t )$ is 7.52, then the value of $\log ( 39.81 t )$ is

If $\log ( t )$ is 2.23, then the value of $\log \left( 10 ^ { 386 } t \right)$ is

Find an exponential model for the following data set. $Find an exponential model for the following data set. A) y = 535.09 \times 0.7 ^ { t } B) y = 0.7 \times 535.09 ^ { t } C) y = 535.09 \times 1.43 ^ { t } D) y = 1.43 \times 535.09 ^ { t }$

Find an exponential model for the following data set. $Find an exponential model for the following data set. A) y = 535.06 \times 0.7 ^ { t } B) y = 0.7 \times 535.06 ^ { t } C) y = 535.06 \times 1.43 ^ { t } D) y = 1.43 \times 535.06 ^ { t }$

Find an exponential model for the following data set. $Find an exponential model for the following data set. A) y = 535.01 \times 0.8 ^ { t } B) y = 0.8 \times 535.01 ^ { t } C) y = 535.01 \times 1.25 ^ { y } D) y = 1.25 \times 535.01 ^ { y }$