M&M Lab Activity: Exponential Growth & Decay

During normal breathing, about 12% of the air in the lungs is replaced after one breath. Which exponential decay model represents the original air left in the lungs if the initial amount of air in the lungs is 500mL ?

• y=500(.88)^x

• y=500(1.12)^x

• y = 500(.12)^x

• y=500(-1.12)^x

A new car that sells for $18,000 depreciates 25% each year. Write a function that models the value of the car after 4 years.

• y = 18,000(.75)⁴

• y = 18,000(.75)^x

• y= 18,000(125)^x

• y = 18,000(1.25)⁴

Tags

CCSS.HSF.LE.A.2

Which equation is represented by the table?

• y = 40(2)^x

• y = 40(1/2)^x

• y = 40 - 2x

• y = 40 - 1/2x

Tags

CCSS.HSF.LE.A.2

Which table represents the following equation?

• 
• 
• 
• 

Tags

CCSS.HSF.LE.A.2

What is the initial value?

• 1

• .8

• 1.8

• .2

Tags

CCSS.HSF.LE.B.5

Which table represents the following equation?

• 
• 
• 
• 

Tags

CCSS.HSF.LE.A.2

Which equation is represented by the table?

Tags

CCSS.HSF.LE.A.2

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%.  What is the factor for this problem?

• 1.29
• .71
• .29
• 1.71

Tags

CCSS.HSF-LE.A.1C

An adult takes 400 mg of ibuprofen. Each hour, the amount of ibuprofen in the person’s system decreases by about 29%. How much ibuprofen is left after 6 hours? 

• 51 mg
• 284 mg
• 1843 mg
• 116 mg

Tags

CCSS.HSF.LE.A.4

You drink a beverage with 120 mg of caffeine. Each hour, the caffeine in your system decreases by about 12%. How long until you have 10mg of caffeine? 

• 19 to 20 hours
• 10 to 20 hours
• 15 to 16 hours
• 5 to 6 hours

Tags

CCSS.HSF.LE.A.4