Exponential Decay and Applications

An equation in the form y=b^x will represent decay if...

• b < 0

• b > 1

• 0 < b < 1

Tags

CCSS.HSF-IF.C.8B

Which of the following functions represents exponential DECAY? (Select ALL that apply)

• f(x) = 7⋅(2/3)^x

• f(x) = 7⋅(3/2)^x

• f(x)= (1/2)⋅(3)^x

• f(x)= (2)⋅(.33)^x

Tags

CCSS.HSF-IF.C.8B

What is the horizontal asymptote of the function:

f(x)=2(0.3)^x-1+7

• y = 1

• x = 1

• x = 7

• y = 7

Tags

CCSS.HSF-IF.C.7D

Find the simplified form of the expression in the image:

• .5e^5x

• .5e^8x

• 
• 3.5e^8x

Gasoline costs $1.99 per gallon. If the price per gallon increases an average of 6% per month, which function models the exponential growth of the pricing?

• 1.06(1.99)^t

• 1.99(1.06)^t

• [1.06(1.99)]^t

• 1.99(.94)^t

Tags

CCSS.HSF.LE.A.2

You put $2000 in the bank and earn interest at a 2.5% rate compounded monthly. How much will you have after 15 years?

• $30,758.65

• $2,001.56

• $2,908.85

• $2,896.60

Tags

CCSS.HSF-LE.A.1C

Johnny invests money in an account that is continuously compounded using an annual rate of 3%. If his initial investment is $1000, which of the following would model the situation.

• A = 1000(1 + 0.03)^t

• A = 1000e^3t

• 
• A = 1000e0^.03t

You deposit $800 in an account that pays 2.65% annual interest compounded continuously. What is the balance after 12.5 years?

• $1,114.17

• $10,268.54

• $1.95 x 10¹⁷

• $1,109.37