Quiz about Growth Decay Equations

Question 1

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

Accepted Answer

Growth

Answer

Decay

Question 2

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

Accepted Answer

800

Answer

0.85

Answer

0.15

Answer

x

Question 3

Does this function represent exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Question 4

What type of function is y = 7(1.25)^x?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None of the above

Question 5

How would you describe the equation?

Accepted Answer

Exponential Growth

Answer

Exponential Decay

Answer

Linear

Answer

None

Question 6

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Answer

Neither

Question 7

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Answer

Neither

Question 8

Is this exponential growth or decay?

Accepted Answer

Decay

Answer

Growth

Answer

Neither

Question 9

In an exponential function, what does the 'a' represent?

Accepted Answer

Y-INTERCEPT

Answer

SLOPE

Answer

RATE OF CHANGE

Answer

COMMON RATIO

Question 10

What is the initial amount for the function: f(x) = 300(1.16)^x?

Accepted Answer

300

Answer

1.16

Answer

.16

Answer

x

Question 11

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

Question 12

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory experiment. The colony is decreasing by 14.9% per minute. Which function can be used to model the number of bacteria in the colony after x minutes?

Accepted Answer

f(x) = 12000(1 - 0.149)^x

Answer

f(x) = 12000(1 + 14.9)^x

Answer

f(x) = 12000(1 - 14.9)^x

Answer

f(x) = 12000(1 + 0.149)^x

Question 13

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

Accepted Answer

y=5000(0.7)^x

Answer

y=30(5000)^x

Answer

y=5000(1.3)^x

Answer

y=5000xx

Question 14

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

Accepted Answer

y=6(1.14)^x

Answer

y=6(0.14)^x

Answer

y=6(1+14)^x

Answer

y=6(0.86)^x

Question 15

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

Accepted Answer

y = 15(1.35)^x

Answer

y = 15(35)^x

Answer

y = 15(0.35)^x

Answer

y = 35(1.15)^x

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