Math 3 Spiral Review 3.4

Show work.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a = ________   r = ________ b = _____________ x = __________
Equation:

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

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

• Growth

• Decay

• Linear

• None

Is this exponential growth or decay?

• Growth
• Decay

Classify the following graph.

• Exponential Growth
• Exponential Decay
• Logarithmic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Which has a horizontal asymptote?

• Exponential
• Logarithmic
• Both

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded semi-annually, how much total will Riley earn in 15 years?

Formula:

Identify what's given:

Show all work:

• $1,584.62

• $2,651.39

• $2,706.86

• $1,825.10

Where is the asymptote for y=log (x-2)? Describe the transformation from the parent function y = log(x).

• y=2

• y=-2

• x=2

• x=-2

What transformation is not present in the following equation?
y=3^x+3 -1

• horizontal shift to the left 3
• horizontal shift to the right 3
• vertical shift down 1
• All the above are present

Tags

CCSS.HSF.BF.B.3

Name the sampling method: Divide the population into homogeneous groups, then select a random sample from each group.

• Simple Random Sample (SRS)

• Systematic Random Sample

• Stratified Random Sample

• Cluster Sample

• Convenience Sample

Name the sampling method: Divide the population into heterogeneous groups. Randomly select one or more groups and include all individuals from those groups in the sample.

• Simple Random Sample

• Systematic Random Sample

• Stratified Random Sample

• Cluster Sample

• Convenience Sample