Create and Interpret Exponential Functions to Solve Problems

Is this exponential growth or decay?

• Growth, because of 7

• Growth because of 1.2

• Decay, because of 1.2

• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

Write an equation that models the following situation: Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week. (HINT: Write out the equation on a separate piece of paper and hen simplify inside the parenthesis)

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

y = 7(1.2)^x

• Growth, because of 7

• Decay, because of 1.2

• Growth because of 1.2

• Decay because of 7

Tags

CCSS.HSF-IF.C.8B

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1.08)^x

• y=15,000(0.92)^x

• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7E

What is the equation of the graph shown, and what is the y-intercept?

• y = 1⁄3 (3)^x ; a = 1⁄3

• y = 1⁄3 (3)^x ; a = 3

• y = 3 (1/3)^x ; a = 1⁄3

• y = 3 (1/3)^x ; a = 3

Tags

CCSS.HSF.LE.A.2

Which has a horizontal asymptote?

• Exponential

• Logarithmic

• Both

Tags

CCSS.HSF-IF.C.7D

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• y = 70(2)³⁵

• y = 70(2)⁵

• y = 2(70)⁵

• y = 5(70)²

Tags

CCSS.HSF.BF.A.2

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1 + 14)^x

• y=6(1 + .14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

What is the starting amount for the following function:
f(x) = 3(1/3)^x 

• 0

• 1/3

• 1

• 3

Tags

CCSS.HSF.LE.B.5