Exponential Functions & Sequences Review

A turkey population starts with 20 individuals and increases by 6% each year. Which function models the situation. Let y be the turkey population after x years.

• $y=20\left(1.6\right)^x$

• $y=20\left(1.06\right)^x$

• $y=20\left(0.94\right)^x$

• $y=20\left(7\right)^x$

Tags

CCSS.HSF.LE.A.2

A goose population starts with 80 individuals and decreases by 14% each year. Which function models the situation. Let p be the goose population after t years.

• $P=80\left(1.04\right)^t$

• $P=80\left(1.14\right)^t$

• $P=80\left(0.94\right)^t$

• $P=80\left(0.86\right)^t$

Tags

CCSS.HSF.LE.A.2

You deposit $6,000 into a savings account that gains 5% interest each year. Find the account balance after 7 years. Round to the nearest dollar.

(a)  

Tags

CCSS.HSF.BF.A.2

A new car costs $35,000 and the value depreciates by 10% each year. Find the value of the car after 5 years. Round to the nearest dollar.

(a)  

Tags

CCSS.HSF.BF.A.2

Find the common difference of the arithmetic sequence.

-2, 7, 16, 25, ...

(a)  

Tags

CCSS.HSF.BF.A.2

Find the common ratio of the geometric sequence.

80, 40, 20, 10, ...

(a)  

Tags

CCSS.HSF.BF.A.2

Find the next term of the sequence.

5, 20, 80, 320, ...

(a)  

Tags

CCSS.HSF.BF.A.2

Find the next term of the sequence.

15, 21, 27, 33, ...

(a)  

Tags

CCSS.HSF.BF.A.2

Select the explicit formula for the arithmetic sequence.

12, 20, 28, 36, ...

• a_n = 4n + 8

• a_n = 8n + 4

• a_n = 8n + 12

• a_n = 12n + 8

Tags

CCSS.HSF.BF.A.2

Select the explicit formula for the geometric sequence.

3, 12, 48, 192, ...

• a_n = 3(4)^n-1

• a_n = 3(3)^n-1

• a_n = 4(3)^n-1

• a_n = 3(12)^n-1

Tags

CCSS.HSF.BF.A.2