Quiz about Exponential Equations Review

Question 1

Does the equation represent growth or decay?

$$y=4\left(\frac{1}{2}\right)^x$$

Accepted Answer

Decay since the ratio is less than 1.

Answer

Growth since the y-int is greater than 1.

Answer

Growth since the ratio is greater than 1.

Answer

Decay since the y-int is less than 1.

Question 2

What is the y-intercept of

$$y=\frac{3}{4}\left(4\right)^x$$ ?

Accepted Answer

$$\frac{3}{4}$$

Answer

Answer

Answer

Question 3

What is the constant ratio for

$$y=\frac{3}{2}\left(\frac{4}{5}\right)^x$$ ?

Accepted Answer

$$\frac{4}{5}$$

Answer

$$\frac{3}{2}$$

Answer

$$\frac{15}{8}$$

Answer

Question 4

What is the rate of decay for

$$y=5\left(\frac{3}{4}\right)^x$$ ?

Accepted Answer

Answer

Answer

Answer

Question 5

What is the constant ratio of the table?

Accepted Answer

Answer

$$\frac{1}{3}$$

Answer

Answer

Question 6

What is the y-intercept of the graph?

Accepted Answer

Answer

Answer

Answer

Question 7

What is the domain of

$$y=4\left(1.2\right)^x$$ ?

Accepted Answer

$$All\ Real\ Numbers$$

Answer

Answer

Answer

Question 8

What is the range of the function shown?

Accepted Answer

All real numbers greater than 0

Answer

All real numbers greater than 3

Answer

All real numbers

Answer

All real numbers greater than or equal to 0

Question 9

What is the asymptote of the function shown?

Accepted Answer

Answer

Answer

Answer

Question 10

You buy a house for $130,000 and it appreciates 6% per year. How much is it worth in 10 years?

Accepted Answer

$232,810

Answer

$14,300,000

Answer

$267.13

Answer

$219,632

Question 11

Tom is losing 20% of his hair each year. If he has 1546 hairs, how much will he have in 8 years?

Accepted Answer

Answer

Answer

Answer

Question 12

A zombie outbreak is doubling daily. If there are 25 zombies, how many will there be in 7 days?

Accepted Answer

Answer

Answer

Answer

Question 13

What is the exponential equation for the table?

Accepted Answer

$$y=6\left(\frac{1}{2}\right)^x$$

Answer

$$y=6\left(2\right)^x$$

Answer

$$y=\frac{1}{2}\left(6\right)^x$$

Answer

$$y=2\left(6\right)^x$$

Question 14

What is the equation of the graph that goes through (2, -18) and (3, -54)?

Accepted Answer

$$y=-2\left(3\right)^x$$

Answer

$$y=2\left(-3\right)^x$$

Answer

$$y=3\left(-2\right)^x$$

Answer

$$y=-3\left(2\right)^x$$

Question 15

What is the exponential equation for the graph?

Accepted Answer

$$y=40\left(\frac{3}{2}\right)^x$$

Answer

$$y=40\left(\frac{1}{2}\right)^x$$

Answer

$$y=40\left(\frac{2}{3}\right)^x$$

Answer

$$y=40\left(\frac{3}{4}\right)^x$$

Question 16

What does the y-intercept represent in the word problem?

Accepted Answer

The original height of the basketball

Answer

The number of bounces the basketball takes

Answer

The height of the basketball after the first bounce

Answer

The rate at which the basketball bounces

Question 17

Given the table, what will be the population of mice after 8 months?

Accepted Answer

Answer

Answer

Answer

Question 18

Based on the graph, which statement does not appear to be true?

Accepted Answer

Since 1992, the company has opened 250 stores each year

Answer

The company opened 400 stores by the end of 1992

Answer

Every year the number of stores opened increased by 25%

Answer

The company opened 100 stores in 1 year

Question 19

Which value is closest to the amount of land the toads will occupy after 40 years?

Accepted Answer

$$800,000\ km^2$$

Answer

$$550,000\ km^2$$

Answer

$$600,000\ km^2$$

Answer

$$1,250,000\ km^2$$

Question 20

Which best describes the graph given?

Accepted Answer

Exponential Growth, asymptote at y = -1

Answer

Exponential Decay, asymptote at y = -1

Answer

Exponential Growth, asymptote at y = 0

Answer

Exponential Decay, asymptote at y = 0

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