Exponential Functions Test Review

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

Is this exponential growth or decay?

• Growth

• Decay

• Linear

Tags

CCSS.HSF-IF.C.7E

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

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of the home has increased about 5% per year. How much is the home worth today?

• $176,783.29

• $424,527.63

• $57,357.75

• $532,041,076.80

Tags

CCSS.HSF-LE.A.1C

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF.LE.B.5

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

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

Tags

CCSS.HSF.LE.A.2

What does the a in y=a(1+r)^x  represent?

• Time

• Rate

• Slope

• Initial Amount

Tags

CCSS.HSF-IF.C.8B

What is r, the growth rate, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF-IF.C.8B

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