Exponential Word Problems

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.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.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.1C

You bought a Boston Whaler in 2004 for $12,500. The boat's value depreciates by 7% a year. How much is the boat worth in 2012?

• $11625
• $6994.77
• $21,477
• $875

Tags

CCSS.HSF.BF.A.2

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

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.2

Write an equation that models the following situation:

Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.70)^x

• y=30(5000)^x

• y=5000(1.30)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

The value of a painting is $12,000 in 1990 and increases by 8% of its value each year.  Write an expression to estimate the paintings value in 2005.

• 1.08(12,000)^t

• 12,000(1.08)^t

• 12,000(0.5)^t

• 12,000(0.92)^t

Tags

CCSS.HSF.BF.A.2

What is the growth factor rate in percent?

y = 5(1.27)^x

• 127%
• 27%
• 5

Tags

CCSS.HSF-IF.C.8B

What is the decay factor in percent?

y = 35(0.65)^x

• 35%
• 65%
• .35%
• 165%

Tags

CCSS.HSF-IF.C.8B