6.2 Exponential Models (Percent Change)

What is the starting amount, for the function:

f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

Classify the model as Exponential GROWTH or DECAY.
 $A=1200\left(0.85\right)^x$  

• Growth

• Decay

Tags

CCSS.HSF.LE.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.2

The expression 12(1.02)^t models the population of elephants in a wildlife refuge after t years since 1975.

What does the value 1.02 represent?

• The number of elephants was 102 in 1975.

• The number of elephants increases by 2% each year.

• The number of elephants increases by 102% each year.

• Two extra elephants join the population each year

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

• ^.08
• ^1.08
• .92
• 8

Tags

CCSS.HSF-LE.A.1C

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

• y=5000(1 - 0.30)^x

• y=30(5000)^x

• y=5000(1 + 0.30)^x

• y=5000x^x

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

• 14327
• 4309
• 839
• 7680

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?

• 9766
• 9006
• 9765
• 5433

Tags

CCSS.HSF.BF.A.2

If Mrs. McGurran starts with $1000 in her Zeke fund, but loses half of her remaining money each week, write an equation to represent the money (y) left after x weeks.

• $y=\frac{1}{2}\left(1000\right)^x$

• $y=1000\left(\frac{1}{2}\right)^x$

• $y=\left(\frac{1}{2}\right)^x+1000$

• $y=1000\left(2\right)^x$

• $y=1000\left(1.50\right)^x$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2