Growth Rate and Growth Factor

Convert a growth rate of 7% to the growth factor

Answer explanation

The growth rate is 7%, meaning that you are finding 107% of the original value. 107% as a decimal is 1.07

Tags

CCSS.HSF-IF.C.8B

Convert a growth rate of 112% to a growth factor.

Answer explanation

If the growth rate is 112%, this means that it is growing 112% more than the initial amount each time period. Because the initial amount is 100%, a growth of 112% means you 212% of the initial amount. 212% as a decimal is 2.12, which is the growth factor.

Tags

CCSS.HSF-IF.C.8B

Convert a growth factor of 1.58 to the growth rate.

Answer explanation

The growth factor is 1.58, meaning you are finding 158% of each number. Because the starting amount or initial value is 100% of the number, the growth rate is 58%

Tags

CCSS.HSF-IF.C.8B

A population of animals is being monitored by scientists. The initial amount started at 500. After year 1, there are 850. After year 2, the population is 1,445, and so on. What is the growth rate for this population?

Answer explanation

The growth rate is the percent of growth, so in order to find the percent of growth you need to find the growth factor first. 850 divided by 500 AND 1445 divided by 850 is equal to a growth factor of 1.7. Because 1.7 is the growth factor, 1.7 can be written as 170%. This means the percent of growth (growth rate) is 70% because the initial population always starts at 100%.

Tags

CCSS.HSF.BF.A.2

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph growth, decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

Is the pictured graph exponential growth, exponential decay, or linear or none?

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

This is an example of....

• an exponential growth

• an exponential decay

• an increasing linear function

• none of the above

Tags

CCSS.HSF-IF.C.7E

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%.  What is the multiplier?

• .96

• 1.4

• 1.04

• $3000

Tags

CCSS.HSF.BF.A.2

A rare coin increases in value by 15% each year. Identify the growth factor

Answer explanation

If the value of the coin increases by 15% each year, this means you are finding 115% of the previous year to get the current value. 115% as a decimal is 1.15, which is the growth factor.

Tags

CCSS.HSF-LE.A.1C