Quiz about Exponential Functions -Mid Unit

Question 1

In a game show, players play multiple rounds to score points. Each round has 3 times as many points available as the previous round.

Which equation could be used to show the number of points (y) available, in a given round (x) of the game show?

Accepted Answer

$$y=25\cdot3^x$$

Answer

$$y=3x$$

Answer

$$y=3\ \cdot\ 25^x$$

Answer

$$y=25+50n$$

Question 2

These equations represent the number of bacteria in four different dishes as a function of time (t) in days. Which equation represents the population with the greatest growth factor?

Accepted Answer

$$d\left(t\right)=400\cdot3^t$$

Answer

$$a\left(t\right)=1000\cdot\frac{5}{6}^t$$

Answer

$$b\left(t\right)=800\cdot\frac{1}{50}^t$$

Answer

$$c\left(t\right)=600\cdot\frac{5}{2}^t$$

Question 3

Jada saw a music video that her favorite artist recently posted online. Which equations represent the number of views of the video, based on the number of days since Jada saw the video with 320 views if the views have a growth factor of 4?

Accepted Answer

$$v\left(t\right)=320\cdot4^t$$

Accepted Answer

$$y=320\cdot4^x$$

Answer

$$v\left(t\right)=4\cdot320^t$$

Answer

$$y=4\cdot320^x$$

Question 4

The milligrams of aspirin in a person's body is given by the equation $$f\left(x\right)=a\cdot b^x$$ , where x is the number of hours since the patient took the medicine.

What variable tells us the starting value?

Accepted Answer

a

Answer

b

Answer

f

Answer

f(x)

Question 5

The milligrams of aspirin in a person's body is given by the equation $$f\left(x\right)=a\cdot b^x$$ , where x is the number of hours since the patient took the medicine.

What variable tells us the growth factor?

Accepted Answer

b

Answer

a

Answer

f

Answer

f(x)

Question 6

The milligrams of aspirin in a person's body is given by the equation $$f\left(x\right)=a\cdot b^x$$ , where x is the number of hours since the patient took the medicine.

What tells us the amount of aspirin in the body after x hours?

Accepted Answer

f(x)

Answer

a

Answer

b

Answer

f

Question 7

If $$y=a\cdot b^x$$ , what happens to the graph of an exponential function if the value of a decreases?

Accepted Answer

the graph moves down

Answer

the graph moves up

Answer

the graph is wider

Answer

the graph is narrower

Question 8

If $$y=a\cdot b^x$$ , what happens to the graph of an exponential function if the value of a increases?

Accepted Answer

the graph moves up

Answer

the graph moves down

Answer

the graph is wider

Answer

the graph is narrower

Question 9

If $$y=a\cdot b^x$$ , what happens to the graph of an exponential function if the value of b increases?

Accepted Answer

the graph is narrower

Answer

the graph moves up

Answer

the graph moves down

Answer

the graph is wider

Question 10

If $$y=a\cdot b^x$$ , what happens to the graph of an exponential function if the value of b decreases?

Accepted Answer

the graph is wider

Answer

the graph moves up

Answer

the graph moves down

Answer

the graph is narrower

Exponential Functions -Mid Unit

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