Evaluating Exponential Equations

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(0.7)^x

• y = 30(5000)^x

• y = 5000(1.3)^x

• y = 5000x^x

Tags

CCSS.HSF.LE.A.2

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?

• 9,765

• 9,006

• 5,433

• 5,000

Tags

CCSS.HSF.BF.A.2

Since January 1980, the population of the city of Brownville has grown according to the mathematical model y = 720,500(1.022)^x, where x is the number of years since January 1980. If the population continues to increase, what will it be in1995?

• 11,045,265

• 5,694,677

• 998,613

• 12,235

Solve the exponential equation:

• -11/4

• 6

• 9/4

• 8

Mathematical Equivalence

ON

• 2/3
• 1
• -9
• All Real Numbers

• 4/3

• -4/3

• 3/4

• -3/4

Fill in the table with the correct values

f

g

h

i

j

-1

12

3

1.5

4.5

0.222

6

0.667

18

2

Tags

CCSS.HSF.LE.A.2

The table represents an exponential function.

Find the value for j.

Mathematical Equivalence

ON

Tags

CCSS.HSF-LE.A.1A