Exponential Growth and Decay

Samantha invested $42,000 into a new internet company. Her investment increased by 4.2% each year over 5 years. Which exponential model could Samantha use to determine the amount of her investment?

• y = 42,000(.042)^t

• y = 42,000(104.2)^t

• y = 42,000(1.042)^t

• y = 42,000(t)1.042

Michael bought a car for $65,000. The car depreciates at a value of 6.2% each year. Which exponential model could be used o determine the value of the car after years, t.

• y= 65,000(0.938)^t

• y= 65,000(1.062)^t

• y= 65,000(6.2)^t

• y= 65,000(t)6.32

Given the function, f(x) = 590(0.89)^x, where x is time in months, find the rate of change of the function.

• increase of 11% per month

• increase of 1.1% per month

• decrease of 1.1% per month

• decrease of 11% per month

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x

• y = 15(1 + 0.35)^x

• y = 15(0.35)^x

• y = 35(1+ 0.15)^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

How does y =  $y=\ \frac{1}{3}\cdot\ 4^x\ +5$  compare to  $y=\ 4^x$  

• vertical stretch by 1/3 
  down 5 units

• vertical compression by 1/3
  up 5 units

• vertical stretch by 1/3
  right 5 units

• vertical compression by 1/3
  left 5 units

What is the transformation?

• Vertical Translation up 2 and Horizontal translation right 1
• Vertical Translation down 2 and Horizontal Translation left 1
• Horizontal Translation left 2 and Vertical Translation up 1
• Horizontal Translation right 2 and Vertical Translation down 1

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

The parent function f(x) = 0.5^x is transformed into the function g(x) = 0.7(0.5)^x. Describe the transformation.

• vertical stretch

• vertical compression

• reflection

• reflection and vertical compression

Using the parent function f(x) = 0.4^x, which function describes a transformation of f(x) moving up 5 units?

• f(x) = 0.4^x + 5

• f(x) = 0.4^x - 5

• f(x) = 5(0.4)^x

• f(x) = 0.4(5)^x

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7