Algebra Unit 3B Review: Exponential functions

A population of mutant venus fly trap plants are taking over an island in the South Pacific, capturing everything from insects to small rodents. When they were first discovered they covered 4 square kilometers. As the population grows, the plants spread and cover more land. Use the table to write an equation.

• y=4(4)^x

• y=4(2.68)^x

• y=4(1+1.67)^x

• y=4(1.67)^x

Tags

CCSS.HSF.LE.A.2

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

• 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

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

Tags

CCSS.HSF.LE.A.2

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

• Growth, because the scale factor is greater than 1

• Growth, because the scale factor is less than 1

• Decay, because the scale factor is greater than 1

• Decay, because the scale factor is less than 1

Tags

CCSS.HSF-IF.C.8B

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. What type of function does the situation represent?

• Increasing LINEAR

• Decreasing LINEAR

• EXPONENTIAL growth

• EXPONENTIAL decay

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.3

What is the y-intercept for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF-IF.C.7E

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

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Tags

CCSS.HSF-IF.C.8B

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Tags

CCSS.HSA.APR.A.1

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Simplify the following exponential expression:
(3x⁴)(5x³)

• 15x¹²
• 8x⁷
• 8x¹²
• 15x⁷

Tags

CCSS.6.EE.A.1