Exponential Functions - with growth/decay application

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth

• Linear

• Exponential Decay

• None of the Above

What is the y-intercept of the function?

• 2

• 3

• 1

• -2

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

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

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

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x

• .27

• 13

• 3.51

Tags

CCSS.HSF.LE.B.5

You invest $400 for 5 years and will increase at an interest rate is 4.29% each year. 

• y=400(1 - 0.0429)⁵

• y=400(1+.0429)⁵

• y=400(1+ 4.29)⁵

• y=400e^0.049*5

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(1 - .08)^x

• y=15,000(0.08)^x

Tags

CCSS.HSF.LE.A.2

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth

• Exponential Decay

• Linear

• None

Tags

CCSS.HSF-IF.C.7E

The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month.

• $y=4000\left(1.25\right)^x$

• $y=4000\left(1.025\right)^x$

• $y=25\left(4000\right)^x$

• $y=4000\left(.75\right)^x$

Daniel’s Print Shop purchased a new printer for $35,000. Each year it depreciates at a rate of 5%.

• $y=35,000\left(.05\right)^x$

• $y=5\left(3500000^x\right)$

• $y=35,000\left(.95\right)^x$

• $y=35000\left(1.05\right)^x$