Equations of Exponential Functions

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 then 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

Choose the correct equation for an exponential function that has an initial value of 5 and  a growth factor of 2

Tags

CCSS.HSF.LE.A.2

The value of a signed baseball card after x years can be represented by the equation y=3000(1.03)^x. What is the approximate value of the card after 40 years?

• $9,786

• $3,528

• $15,912

• $8,534

Classify the model as Exponential GROWTH or DECAY.

y=1200(.85)^x

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Determine if the equation y = 15(1.35)^x represents exponential growth or decay and justify.

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

Given the following table of values, construct the function that represents the sequence.

• y = 3(4)^x

• y = 3x + 4

• y = 4(3)^x

• y = 4x + 3

Tags

CCSS.HSF.LE.A.2

Write the equation of the exponential function for the given table.

• y = 1(4)^x

• y = 1(1/4)^x

• y = 4(4)^x

• y = 1/4(1)^x

Tags

CCSS.HSF.LE.A.2

Write the equation of the exponential function for the given table.

• y = -2(1/2)^x

• y = 2(1/2)^x

• y = 2(2)^x

• y = 1/2(2)^x

Tags

CCSS.HSF.LE.A.2

Write the equation of the exponential function for the given table.

• y = 2(1/3)^x

• y = -2(1/3)^x

• y = 1/3(2)^x

• y = 2(-1/3)^x

Tags

CCSS.HSF.LE.A.2

Write the equation of the exponential function for the given graph.

• y = 1(4)^x

• y = 4(1)^x

• y = 1(1/4)^x

• y = 1/4(1)^x

Tags

CCSS.HSF.LE.A.2