Exponential Growth or Decay Solving

 Halle deposited $4000 into an account that earns 5% interest each year.  The growth of her investment can be expressed by the exponential equation, A = 4000(1 + .05)^t, where A is the amount in the account after t years.  In how many years will her account exceed $10,000?

• 19 years

• 16 years

• 22 years

• 25 years

• 1.2

• 10

• 0.8

• 100

Tags

CCSS.HSF.LE.B.5

The equation of an exponential function is given as follows: f\left(x\right)=100\left(1.2\right)^x . Does this equation represent exponential growth or decay and what is the exponential growth or decay rate?

• Growth, 120%

• Growth, 20%

• Decay, 20%

• Decay, 12%

Tags

CCSS.HSF-IF.C.8B

The equation of an exponential function is given as follows: f\left(x\right)=8\left(0.75\right)^x . Does this equation represent exponential growth or decay and what is the exponential growth or decay rate?

• Growth, 75%

• Growth, 25%

• Decay, 75%

• Decay, 25%

Tags

CCSS.HSF-IF.C.8B

Move each part of the equation into the table next to the term that best describes what it represents. Not all parts of the equation will be used.

• (1+0.04)

• Initial deposit

• t

• interest rate

• 3,000

• time

• 0.04

• growth factor

Tags

CCSS.HSF-IF.C.8B

The table has an initial value of ​ (a)   and demonstrates exponential ​ (b)   at a factor of​ (c)   .

• 2

• growth

• 5

• -1

• decay

Tags

CCSS.HSF-LE.A.1A

• 4
• 3/4
• 4/3
• 3

Tags

CCSS.HSF-IF.C.8B

Does the following exponential function have a growth factor or decay factor?

f\left(x\right)=45\left(1.04\right)^x

• Growth Factor

• Decay Factor

Tags

CCSS.HSF-IF.C.8B

• Exponential Growth

• Linear

• Exponential Decay

• None of the Abovee

Tags

CCSS.HSF-IF.C.8B

The amount of bacteria is ​ (a)   at a rate of ​ (b)   each day.

• increasing

• 12%

• decreasing

• 88%

Tags

CCSS.HSF-IF.C.8B