Exponential Growth and Decay

Use the function, N = 14,000(.96)^t.
Is the function INCREASING or DECREASING?

• Increasing
• Decreasing

Tags

CCSS.HSF-IF.C.8B

Use the function, N = 14,000(.96)^t.
What is the Initial Amount?

• 14,000
• 4%
• .96
• t

Tags

CCSS.HSF.LE.B.5

Use the function, N = 14,000(.96)^t.
What is the rate of decay? 

• 14%
• 4%
• 96%
• It is growing not decaying

Tags

CCSS.HSF-IF.C.8B

Consider the exponential equation f(x)=2.5(3)^x. Which of the following statements is true?

• The y-intercept of the graph is 1.
• The y-intercept of the graph is 3.
• The y-intercept of the graph is 2.5
• The y-intercept of the graph is 0.

Tags

CCSS.HSF-IF.C.7E

The exponential function f(x)=1200(1.065)^x models the amount of money in Jessica's retirement account (where x represents the number of years since the initial investment). Which of the following statements is true? 

• Jessica invests $1,200 into the account each year.
• Jessica initially invested $1,200 in the account.
• Jessica's account is increasing in value by 10.65% each year.
• It takes 1.065 years for the account to start increasing in value. 

Tags

CCSS.HSF-IF.C.8B

The exponential function f(x)=1200(1.065)^x models the amount of money in Jessica's retirement account (where x represents the number of years since the initial investment). Which of the following statements is true? 

• Jessica's account is increasing in value by 106.5% each year.
• Jessica's account is increasing in value by 1.065% each year.
• Jessica's account is increasing in value by 6.5% each year.
• Jessica's account is increasing in value by 0.65% each year.

Tags

CCSS.HSF-IF.C.8B

Consider the exponential function f(x)=5(¾)^x. Which of the following statements is true?

• The function models exponential decay because the initial value is positive. 
• The function models exponential decay because the factor is a value between 0 and 1.

• The function models exponential growth because the factor is positive.

• The function models exponential growth because the initial value is not a fraction.

Tags

CCSS.HSF-IF.C.8B

The exponential function f(x)=125,000(0.98)^x models the value of Eric's home (where x represents the number of years since he purchased it). Which statement is true about the value of Eric's home?

• Eric's home is decreasing in value by 2% each year.
• Erica home is increasing in value by 0.98% each year.
• Eric's home is decreasing in value by 0.98% each year.
• Eric's home is increasing in value by 9.8% each year.

Tags

CCSS.HSF.LE.B.5

A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?

• -5
• -.05
• .95
• .05

Tags

CCSS.HSF-LE.A.1C

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

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2