Modeling and Analyzing Exponential Expressions

Solve for x.

2^x = 4^x+1

• x = -2

• x = 2

• x = -3

• x = 3

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve for x.

3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

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

• Exponential Growth

• Exponential Decay

What is the initial value for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

Tags

CCSS.HSF.IF.A.2

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

Tags

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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.BF.A.1

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Change .02 to a percent

• .02%
• 20%
• 2%
• 200%

Change 56% to a decimal

• .56
• 56
• 5.6
• .056

Classify the model as Exponential GROWTH or DECAY.
A=10(1.01)³

• Growth
• Decay

Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)⁶

• Growth
• Decay