Equations of Exponential Functions

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

• $y=2\left(5\right)^x$

• $y=5\left(2\right)^x$

• $y=a\left(2\right)^5$

• $y=2a^5$

Tags

CCSS.HSF.LE.A.2

Oscar's mom agrees to a unique allowance plan for 2021. Oscar starts with $3 in January and his mom promises to double it each month. Choose the correct equation:

• $y=1\left(3\right)^x$

• $y=3\left(2\right)^x$

• $y=3\left(1\right)^x$

• $y=2\left(3\right)^x$

Tags

CCSS.HSF.LE.A.2

Pick the correct statement for the equation

 $y=6\left(3\right)^x$  

• 6 is the growth factor and 3 is the initial value

• 3 is the growth factor and 6 is the initial value

Tags

CCSS.HSF.LE.B.5

Write an exponential function to model the situation. The value of a car is $18000 and is decreasing at a rate of 12% per year.

(HINT: Write out the equation on a separate piece of paper and then simplify inside the parenthesis)

• V(t) = .88(18000)^t

• V(t) = .12(18000)^t

• V(t) = 18000(.88)^t

• V(t) = 18000(.12)^t

Tags

CCSS.HSF.LE.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.

(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

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