Exponential Models

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

• Linear

• Quadratic

• Exponential

• None of the above

Tags

CCSS.HSF.LE.A.1

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

• linear

• quadratic

• exponential

• none of the above

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. This situation is best modeled by a(n) _________________ function.

• linear

• quadratic

• exponential

• none of the above

Tags

CCSS.HSF.LE.A.1

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What was the population in 1990? 

• 0 people
• It doesn't say
• I don't know
• 6191

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

The population of Winnemucca, Nevada, can be modeled by P=6191(1.04)^t where t is the number of years since 1990. What percent did the population increase each year?

• 4%
• It doesn't say
• I don't know
• 400%

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

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

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.B.5

CCSS.HSF.LE.A.2

The amount of ants in a colony, f, that is decaying can be modeled by

f(x) = 800(.87)^x, where x is the number of days since the decay started.

Suppose f(20) = 49. Which of the following is true?

• After 20 days, there are 49 ants in the colony.

• After 49 days there are 20 ants in the colony.

• The amount of ants times 20 is 49.

• After 20 days the amount of ants remaining decreases by 49.

Tags

CCSS.HSF.LE.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.CED.A.1

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
What does the value 1.015 represent?

• The number of elephants was 1,015 in 1975.
• The number of elephants increases by 1.5% each year.
• The number of elephants increases by 101.5% each year.
• The number of elephants is multiplied by 1.015 each year.

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5