Exponential Growth and Decay

Is this exponential growth or decay?

• Growth

• Decay

Does the following equation model growth or decay?
y = 500(.35)^x + 7

• Growth

• Decay

In 1990, the population of Idaho was 1,006,749. Since then that number has increased an average of 2.85% per year.

Does this represent exponential growth or decay?

• Growth

• Decay

The amount of bacteria is ​ (a)   at a rate of ​ (b)   each day.

• increasing

• 12%

• decreasing

• 88%

Emily is culturing bacteria that have a growth rate of 5% per hour. If the current population is 36,000 bacteria, how many bacteria will there be in 12 hours? If necessary, round your answer to the nearest whole number.

• 8,789,062 bacteria.

• 19,452 bacteria.

• 61,572 bacteria.

• 64,651 bacteria.

The table has an initial value of ​ (a)   and demonstrates exponential ​ (b)   at a factor of​ (c)   .

• 2

• growth

• 5

• -1

• decay

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.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

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

• y = 15(35)^x

• y = 15(1.35)^x

• y = 15(0.35)^x

• y = 35(1.15)^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor? Hint: decay factor is (1-r) where r is the rate as a decimal

• ^.08

• ^1.08

• .92

• 8