Algebra 2 Unit 6 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

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF-IF.C.8B

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

• Growth
• Decay

Tags

CCSS.HSF-IF.C.8B

A 78 gram sample of Uranium loses half of its mass each year.  What is the exponential equation? 

• y=78(0.5)^x
• y=78(1.5)^x
• y=78(2)^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

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

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%

• 104%

• 96%

• 1.04%

Tags

CCSS.HSF-LE.A.1C

Change 6.75% to a decimal.

• 67.5
• .675
• 675
• .0675

Ashleigh put some money into an account paying 4.5% compounded continuously for 10 years. She now has $3567.91 in the account. How much money did she start the account with?

• $2275

• $2725

• $2572

• $3275

If you invest $5,000 into an account paying 6% interest compounded continuously, how many years will it take until there is $8,000 in the account?

• 7.83 years

• 6.83 years

• 9.67 years

• 8.67 years

Tags

CCSS.HSF.LE.A.4