Exponential Decay Functions

A beetle population of 346,000 is too large to sustain. The beetles begin to perish at a rate of 8% per week. Write a function, f(x), for every x weeks.

• f(x) = 346,000(92)^x

• f(x) = 92(346,000)^x

• f(x) = 0.92(346,000)^x

• f(x) = 346,000(0.92)^x

• f(x) = 346,000(8)^x

Tags

CCSS.HSF.LE.A.2

The amount of Tylenol in the body decreases by 19% each hour. If Toby takes 500 mg, then write a function, c, for how much Tylenol is in Toby's body after h hours.

• c = 500(0.81)^h

• c = 0.81(500)^h

• c = 500(19)^h

• c = 81(500)^h

• c = 500(81)^h

Tags

CCSS.HSF.LE.A.2

The new Toyota Supra has a value of $50,000. Its value depreciates (decreases) by 1.3% every 6 months. Write a function, v, for its value for every x six-month periods.

• v = 0.87(50,000)^x

• v = 50,000(0.87)^x

• v = 50,000(1.3)^x

• v = 0.987(50,000)^x

• v = 50,000(0.987)^x

Tags

CCSS.HSF.LE.A.2

Given y = 89(0.75)^x , which statement is TRUE about the exponential function?

• The function is classified as exponential growth.

• The rate of decrease is 25%.

• The rate of increase is 75%.

• The initial value (a) is 0.75.

Tags

CCSS.HSF-IF.C.8B

• Exponential Growth

• Exponential Decay

• Quadratic

Tags

CCSS.HSF-IF.C.7E

At a certain point in time, a fossil has 3 picograms of carbon-14. Complete the table with the missing mass of carbon-14 and years

a

b

c

11,460

1.5

2.38

Tags

CCSS.HSF.LE.A.4

The population of Townville is decreasing at a rate of 6% each year. If the starting population was 7,000 what equation represents the current population after x number of years?

Tags

CCSS.HSF.LE.A.2

A substance weighing 923 ounces decays at a rate of 2.7% PER HOUR. What is the weight of the substance after ONE DAY?

• 478.54 ounces

• 478.53 ounces

• 947.92 ounces

• 947.93 ounces

Tags

CCSS.HSF.LE.A.4

Does the function represent a growth or decay function?

• Exponential GROWTH

• Exponential DECAY

Tags

CCSS.HSF-IF.C.8B

There is a culture of bacteria that begins with 5000 cells and dies by 30% each year. Write an exponential model to represent the situation.

• y = 5000(0.70)^x

• y = 30(5000)^x

• y = 5000(1.30)^x

• y = 5000x^x

Tags

CCSS.HSF.LE.A.2