Exponential Decay

A paper copier reduces paper dimensions by 25% each time it copies.  If the design on the paper is 7 inches wide before it is copied, how wide is it after you copy it 5 times?

• 5.25 inches
• 1.66 inches
• 2.21 inches
• 21.36 inches

Tags

CCSS.HSF.BF.A.2

A car is purchased for $28,000.  The value of the car depreciates 15% per year.  What is the value of the car after 5 years?

• $12,424
• $10,560
• $5,600
• $56,318

Tags

CCSS.HSF.BF.A.2

Suppose a radioactive substance loses half of its remaining mass each day.  How much of a 50 gram sample will remain after 7 days?

• 7.14 grams
• 3.125
• 0.78 grams
• 0.39 grams

Tags

CCSS.HSF.LE.A.4

Littleton has 29,000 people and its population is decreasing 6% per year.  What exponential function models Littleton's population?

• y =29,000(1-6)^x
• y = 29,000(1+.06)^x
• y = 29,000(1-.06)^x
• y= 29,000(1+6)^x

Tags

CCSS.HSF.LE.A.2

Janice has $500 and plans to spend 5% per day on her shopping trips.  What equation shows how much money, y, she has left after x days?

• y = 500(1 - 5)^x
• y = 500( 1 - .05)^x
• y = 500( 1 + .05)^x
• y = 500(1 + 5)^x

Tags

CCSS.HSF.LE.A.2

Janice has $500 and plans to spend 5% per day on her shopping trips.  How much will she have left after 12 days?

• $879.93
• $41.67
• $270.18
• $300

Tags

CCSS.HSF.BF.A.2

Which equation represents exponential decay?

• y = 0.3x
• y = 3^x
• y = 100(0.5)^x
• y = 0.5(100)^x

Tags

CCSS.HSF-LE.A.1A

Which equation represents exponential growth?

• y = .3x
• y = 3^x
• y = (0.99)^x
• y = (1/5)^x

Tags

CCSS.HSF-LE.A.1A

Adam bought a fish aquarium worth $2,000. Its value depreciates by 3% per month.  What is the exponential equation represents how much the aquarium is worth after x months?

• f(x) = 2,000(1.03)^x
• f(x) = 2,000(3)^x
• f(x)= 2,000(0.97)^x
• f(x)= 2,000(1)^x

Tags

CCSS.HSF.LE.A.2