Quiz about Exponential Functions Predictions

Question 1

The exponential function modeled represents the number of square kilometers of land occupied by a lizard, x years after the lizard was first introduced into the area. Based on the data shown, which measurement is closest to the number of square kilometers of land that will be occupied by this lizard 40 years after the lizard was first introduced into this area?

Accepted Answer

800,000 km²

Answer

550,000 km²

Answer

1,250,000 km²

Answer

600,000 km²

Question 2

Which equation is the best model for the table of values shown above?

Accepted Answer

$$y=6.98\left(4^{-x}\right)$$

Answer

$$y=\left(6.98^{-x}\right)$$

Answer

$$y=6,98\left(4^x\right)$$

Answer

$$y=6.98^{-x}$$

Question 3

An exponential function is modeled on the above table. Based on the data shown, which of the following is closest to the value of $$y$$ when $$x=5$$ ?

Accepted Answer

300

Answer

225

Answer

195

Answer

150

Question 4

Which equation is the best function for the table of values show above?

Accepted Answer

$$y=4\left(2.99^x\right)$$

Answer

$$y=3.02\left(4.1^x\right)$$

Answer

$$y=2.99\left(4^x\right)$$

Answer

$$y=4.1\left(3.02^x\right)$$

Question 5

Question 5.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 6

Question 6.

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 7

Question 7.

Accepted Answer

$$g\left(x\right)=25.5\left(0.6\right)^x$$

Answer

$$g\left(x\right)=0.6\left(25.5\right)^x$$

Answer

$$g\left(x\right)=6.12\left(25.5\right)^x$$

Answer

$$g\left(x\right)=25.5\left(6.12\right)^x$$

Question 8

In 1985, there were 285 cell phone users in a small town. The number of users increased by 75% per year after 1985. Based on the data shown, which of the following is closest to the number of cell phone users in this small town in 1994?

Accepted Answer

40,000

Answer

400,000

Answer

25,000

Answer

250,000

Question 9

The table below shows the bacteria growth in a culture that are growing exponentially. Which of the following best represents the number of bacteria, $$y$$ present at any time, $$t.$$

Accepted Answer

$$y=\left(100\right)\left(2^t\right)$$

Answer

$$y=2^t$$

Answer

$$y=100+2^t$$

Answer

$$y=200^t$$

Question 10

Which equation is the best model for the table of values shown?

Accepted Answer

$$y=81\left(\frac{1}{3}\right)^x$$

Answer

$$y=\frac{1}{3}\left(81\right)^x$$

Answer

$$y=81\left(3\right)^x$$

Answer

3( $$y=3\left(81\right)^{-x}$$

Question 11

A cleaning company earns a profit of $400 in its first year of business. Each year, its profit increases 5%. The exponential function, $$p=400\left(1.05\right)^x$$ , where $$p$$ represents the profit and $$n$$ represents the number of years, can be used to model this relationship. Which of the following best
represents the profit of the cleaning business in the
10th year?

Accepted Answer

$$650$$

Answer

$$65,000$$

Answer

$$42,000$$

Answer

$$420$$

Question 12

In 1995, the number of students enrolled

at a local college in Texas was 15,000.

The student enrollment is growing at a rate of

4% each year. About how many students can the

college expect to have in 25 years?

Accepted Answer

40,000

Answer

50,000

Answer

30,000

Answer

150,000

Question 13

A population of 100 rabbits is increasing at an annual rate of 22%. Based on this, how many rabbits will there be in 5 years?

Accepted Answer

270

Answer

200

Answer

125

Answer

none

Exponential Functions Predictions

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