Quiz about Exponential Rates and Factors

Question 1

Is the following a growth rate or a decay rate?

Accepted Answer

Growth Rate

Answer

Decay Rate

Answer

Not enough information

Question 2

Is the following a growth factor or a decay factor?

Accepted Answer

Growth Factor

Answer

Decay Factor

Answer

Not enough information

Question 3

Is the following a growth factor or a decay factor?

Accepted Answer

Decay Factor

Answer

Growth Factor

Answer

Not enough information

Question 4

When will a multiplier be a growth factor?

Accepted Answer

When the number is greater than 1

Answer

When the number is greater than or equal to 1

Answer

When the number is less than 1

Answer

When the number is less than or equal to 1

Answer

When the number is equal to 1

Question 5

Which equation matches the graph?

Accepted Answer

y = 2-x

Answer

y = 2x+3

Answer

y = 2^x + 3

Answer

y = 2x

Question 6

Solve the equation for x.

Accepted Answer

7.389

Answer

0.693

Answer

0.0183

Answer

6.581

Question 7

$$f\left(x\right)\ =\ 5\left(1+.02\right)^x$$
What is the Growth FACTOR?
Remember the Growth Factor is the value that you are going to multiply by itself as many times as the Exponent indicates. If the Exponent (x) is 3 then you would multiply this value by itself 3 times.

Accepted Answer

1.02

Answer

5

Answer

1

Answer

.02

Question 8

What value goes inside the parentheses for the Growth Factor if something doubles every hour?

Accepted Answer

2

Answer

$$\frac{1}{2}$$

Answer

4

Question 9

What value do you use for the exponent if a bacteria triples every 10 hours and you want to know how many bacteria there are 70 hours later? (HINT: How many times will the bacteria triple in 70 hours?)

Accepted Answer

7

Answer

700

Answer

10

Answer

70

Question 10

You start out with 60 bacteria. They triple every 10 hours.
How many bacteria do you have after 70 hours?

Accepted Answer

2187

Answer

180

Answer

57

Answer

63

Question 11

You invest $5000 into an account that earns interest at 15% compounded annually. How much Interest have you earned after 2 years?

Accepted Answer

$1612.50

Answer

$10,000

Answer

$6612.50

Answer

750

Question 12

$$f\left(x\right)=\ 30\left(\frac{1}{3}\right)^x$$
Is this Exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 13

$$f\left(x\right)\ =\ \frac{1}{3}\left(5\right)^x$$
Is this Exponential Growth or Decay?

Accepted Answer

Growth

Answer

Decay

Question 14

If something has a 5% growth rate, the growth factor is ______.

Accepted Answer

1.05

Answer

1

Answer

1.5

Answer

5

Question 15

If something has exponential growth, the "b" value is _____?

Accepted Answer

greater than 1

Answer

equal to 1

Answer

less than 1

Answer

between 0 and 1

Question 16

Given the function $$f\left(x\right)=1300\left(.75\right)^x$$ the ".75" is called the ______?

Accepted Answer

Decay Factor

Answer

Growth rate

Answer

Growth Factor

Answer

Decay Rate

Question 17

If something has a 1.5% decay rate, the decay factor is ______.

Accepted Answer

.985

Answer

1.5

Answer

.015

Answer

98.5

Question 18

Given the function $$f\left(x\right)=10\left(1.3\right)^x$$ the "1.3" is called the ______?

Accepted Answer

Growth Factor

Answer

Growth rate

Answer

Decay Rate

Answer

Decay Factor

Question 19

A 2.5% decay rate is what value as a decay factor?

Accepted Answer

.975

Answer

97.5

Answer

.025

Answer

2.5

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