Exponential Decay Formula

The population of a town is decreasing at a rate of 5% per year. This year there are 10,000 people in this town, how many people will be left in 20 years from now? (round to the nearest whole number)

• 26,533 people

• 358 people

• 1 person

• 3,585 people

Tags

CCSS.HSF-LE.A.1C

Why does the formula subtract the rate when calculating decay?

• The exponential decay formula does not subtract the rate.

• Exponential decay multiplies the rate of decay.

• When calculating decay, the rate is showing how much is being removed from the whole each rotation.

• When calculating decay, the rate is showing how much is being added to the whole each rotation.

Tags

CCSS.HSF-IF.C.8B

What does "t" represent in both of the formulas to calculate exponential growth and decay?

• Three

• Time

• Two

• Total

Tags

CCSS.HSF-IF.C.8B

What does "a" represent in both of the formulas to calculate exponential growth and decay?

• Always

• Absolute Value

• Asymptote

• Initial Amount

Tags

CCSS.HSF-IF.C.8B

What does "r" represent in both of the formulas to calculate exponential growth and decay?

• Radical

• Regular

• Real Time

• Rate of Decay/Growth

Tags

CCSS.HSF-IF.C.8B

Matt bought a new Porsche 911 Cabriolet for $183,600 in 2021. Every year, the value of the car depreciates by 6.94%. Write and use an exponential growth or decay function to find the value of his car at the end of his 60-month loan.

• $1,281,409,436

• $128,141

• $256,787

• $2,453

What is a, the starting term, for the function: f(x) = 800(0.85)^x?

• 800

• 0.85

• 0.15

• x

Tags

CCSS.HSF.LE.B.5

What is the decay rate in the following model?
A=1200(.85)⁶

• -1200

• -.15

• 6

• -6

Tags

CCSS.HSF-IF.C.8B

Identify whether the function is exponential GROWTH or DECAY.

y = 1200(1/9)^x

• Growth

• Decay

Tags

CCSS.HSF-IF.C.8B

A population of 1500 deer decreases by 1.5% per year. At the end of 10 years, there will be approximately 1290 deer in the population.

Which function can be used to determine the number of deer, y, in this population at the end of t years?

Tags

CCSS.HSF.LE.A.2