FB 25: 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

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

• Exponential Growth
• Exponential Decay
• Linear
• None

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

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

What is the y-intercept of the function?

• 2
• 3
• 1
• -2

Sketch y = 2x + 1

• 
• 
• 
• 

What is the value for f(10)?

• $25

• $30

• $32

• $35

What is the average rate of growth?

• 2 cm/day

• 2 days/cm

• 1 cm/day

• 1 day/cm

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