Modeling Exponential Functions

A new car depreciates about 15% each year. You purchase a new car for $35,000. Using the graph predict about how many years it will take for the value of the care to be $25,000.

• 7 years

• 5 years

• 2 years

• 1 year

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

Tags

CCSS.HSF.LE.A.2

Tags

CCSS.HSF.LE.A.2

Mr. Savage has $8,000,000 in his bank account, which accrues 1.932% interest every 3 months. How much money will be in his bank account after 9 years?

You take out a student loan for $80,000 with 2.75% annual interest to pay for your first year of college. This loan will cover all course fees and books. Which is the exponential growth equation to model this situation?

Tags

CCSS.HSF.LE.A.2

A rubber ball dropped on a small surface takes a sequence of bounces. Each bounce is half as high as the preceding one. If the ball is dropped from a height of 64 feet, determine the exponential decay equation to model the situation.

Tags

CCSS.HSF.LE.A.2

A rubber ball dropped on a small surface takes a sequence of bounces. Each bounce is half as high as the preceding one. If the ball is dropped from a height of 64 feet, determine the height of the ball after it hits the surface on the 5th bounce

• 486 feet

• 2 inches

• 2 feet

• 49.5 feet

Tags

CCSS.HSF.BF.A.2

The foundation of your house has about 1,200 termites. The termites grow at a rate of about 2.4% per day. How long until the number of termites doubles?

• 29 to 30 days

• 23 to 24 days

• 15 to 16 days

• 19 to 20 days

Tags

CCSS.HSF.LE.A.4

The population of Bloom Falls, Mass. (population 937) is slowly moving to a bigger city.
Every year the population drops by 4.5%. What is the population after 3 years?

• 1,069 people

• 894 people

• 816 people

• 854 people

Tags

CCSS.HSF-LE.A.1C

Classify the model as Exponential GROWTH or DECAY and identify the Growth or Decay factor .

• Growth of 15 %

• Decay of 15 %

• Growth of 85 %

• Decay of 85 %

Tags

CCSS.HSF-IF.C.8B