IA: ExponentialGrowth/Decay

The expression 500(2)^x can be used to determine the size of a population that grows over a period of time.  What does 500 represent in the expression?

• The final size of the population
• The initial size of the population
• the amount of time necessary to double
• The rate at which the population is growing

Tags

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.B.5

You buy a brand, new car worth $26,000, and the car will depreciate each year at a rate of 7%.  How much will the car be worth after 4 years?

• $26,000
• $210.60
• $19,449.35
• $33,696,000

Tags

CCSS.HSF.BF.A.2

Which situation can be modeled by an exponential function?

• CD sals at a record shop are decreasing by 150 per month
• Approximately 3.2 billion gallon of water flow over Niagara Falls each day
• Stock prices have been increasing by 0.2% daily
• As the value of x increases by one, the value of y increases by five

Tags

CCSS.HSF.LE.A.1

Suppose you deposit $500 into an account earning 7.8% interest compounded annually. What will the account balance be in 10 years?

• $784.66
• $89,691.24
• $159,650.41
• $1,059.64

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Suppose you deposit $2000 into an account earning 5% interest compounded quarterly.  To the nearest dollar, what is the balance after 4 years?

• $2,321.51
• $2,439.51
• $2,564.07
• $13,166.50

Which function has the solution x = 4?

• 1/625 = 5^x
• 3^x+1 = 81
• 4^x+2 = 4096
• 2^x-1 = 1/32

Which is the correct value for x?

• x = -4
• x= 1
• x = -3
• x = 2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

What is the range for 
f(x) = -(1/3)^x ?

• y > 0
• y > -4
• y < 0
• y < -4

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSF.LE.B.5

What is the range for 
f(x) = 5^x-6 - 3 ?

• All Real Numbers
• y > -3
• y < 3
• y < -3

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.C.7

What is the domain
f(x)=(6)^x+3 ?

• x > 0
• x < 0
• All Real Numbers
• x ≠ 0

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5