Exponential Growth and Decay

How do you determine if a function represents growth or decay?

• If the base (b) is greater than 1, it represents growth; if the base (b) is between 0 and 1, it represents decay.

• If the base (b) is equal to 1, it represents growth; if the base (b) is less than 0, it represents decay.

• If the base (b) is less than 1, it represents growth; if the base (b) is greater than 1, it represents decay.

• If the base (b) is negative, it represents growth; if the base (b) is positive, it represents decay.

What is the effect of a higher growth rate on exponential growth?

• A higher growth rate results in a steeper increase in the quantity over time.

• A higher growth rate leads to a slower increase in the quantity over time.

• A higher growth rate has no effect on the quantity over time.

• A higher growth rate causes the quantity to decrease over time.

If a population of 1000 increases by 10% each year, what will it be after 3 years?

• Approximately 1200

• Approximately 1331

• Approximately 1500

• Approximately 1100

What is the effect of a higher decay rate on exponential decay?

• A higher decay rate results in a slower decrease in the quantity over time.

• A higher decay rate results in a faster decrease in the quantity over time.

• A higher decay rate has no effect on the quantity over time.

• A higher decay rate leads to an increase in the quantity over time.

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

• Exponential GROWTH

• Exponential DECAY

• Linear GROWTH

• Quadratic GROWTH

What is the formula for Exponential Growth?

• A = P(1 + r)^t

• A = P(1 - r)^t

• A = P * e^(rt)

• A = P(1 + rt)

What is the common ratio in the function f(x) = 200(0.9)^x?

• 0.5

• 0.7

• 0.9

• 1.1

What is the formula for Exponential Decay?

• A = P(1 - r)^t

• A = P(1 + r)^t

• A = P * e^(rt)

• A = P(1 - rt)

Classify the model A=1200(0.85)^6 as Exponential GROWTH or DECAY.

• Growth

• Decay

• Constant

• Linear

What is the initial amount in the function A = 500(1.2)^t?

• $250

• $500

• $750

• $1000