GGG 3.1 Growth Rates and Growth Factor

GGG 3.1 Growth Rates and Growth Factor

Focus Question:

What are growth rates and factors?

#1 What is the formula for when something is growing exponentially?

Multiple Choice

What does the number right outside the parenthesis stand for?

• growth rate

• initial value/starting amount

Don't forget...

When writing in growth factor, we start with (1+ something) or (1+r) because when we multiply by the growth rate we want to multiply by itself or 1 and then by the actual growth

Multiple Choice

What is the growth rate in this equation?

• 1.024

• 35000

#3

The difference between growth and decay functions is you either add or subtract the growth factor from 1.

Multiple Choice

Is this an example of growth or decay?

• Growth

• Decay

Multiple Choice

Is this an example of growth or decay?

• Growth

• Decay

Multiple Choice

In the mid-1990s, there were more than 300 million rabbits in Australia. The damage they caused cost Australian agriculture $600 million per year. In 1995, a deadly rabbit disease was deliberately spread, reducing the rabbit population by about half. Is this exponential growth or decay?

• Growth

• Decay

#4 How to find growth factor from a table

y2 divided by y1, y3 divided by y2, y4 divided by y3

180/100= 1.8

325/180= 1.8

583/325= 1.8

The initial value would be 100, because that is the y-intercept (y when x is 0)

Multiple Choice

What is the growth factor in this table?

• 2.5

• 1.4

• 1.6

• 0

Multiple Choice

What is the initial value in this table? (the y-intercept)

• 100

• 160

• 256

• 0