Linear and Exponential Functions

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

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

• Exponential Growth
• Exponential Decay
• Linear
• None

Tags

CCSS.HSF-IF.C.7E

What is b, the common ratio, for the function: f(x) = 300(1.16)^x?

• 300
• 1.16
• .16
• x

Is this exponential growth or decay?

• Growth
• Decay

Tags

CCSS.HSF-IF.C.7E

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.

• 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

What is the value for f(10)?

• $25

• $30

• $32

• $35

Tags

CCSS.HSF.LE.B.5

Sam joins a chocolate club for $22.  He pays $0.35 per ounce of chocolate after he has paid the membership fee. What function represents this situation?

• f(x) = 0.35y + 22
• f(x) = 0.35x - 22
• f(y) = 0.35x + 22
• f(x) = 0.35x +22

Tags

CCSS.HSF-BF.A.1A

What does the "b" stand for in y=mx+b?

• slope
• x-intercept
• y-intercept

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

What letter represents the slope of a line in the equation y = mx + b?

• y
• m
• x
• b

Tags

CCSS.8.EE.B.6

CCSS.8.F.A.3

Is the equation linear, exponential or neither?

• Linear
• Exponential
• Neither