Applications of Exponential G/D

How is the exponential growth formula different from the exponential decay formula?

f(t) =a(1+r)^t

f(t)=a(1-r)^t

• They are not different.

• Exponential Growth requires you to multiply. Exponential Decay requires you to divide.

• Exponential Growth requires you to subtract your rate of increase. Exponential Decay requires you to add your rate of decay.

• Exponential Growth requires you to add your rate of increase. Exponential Decay requires you to subtract your rate of decay.

Tags

CCSS.HSF.LE.A.3

Why does the formula subtract the rate when calculating decay?

f(t) = a(1-r)^t

• 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.

Which of the following words show growth? SELECT ALL THAT APPLY.

• Decrease

• Increase

• Depreciate

• Decays

• Grows

Tags

CCSS.8.EE.B.6

CCSS.8.F.B.4

CCSS.8.F.B.5

Which of the following words show decay? SELECT ALL THAT APPLY.

• Increase

• Decrease

• Grows

• Decays

• Depreciates

Tags

CCSS.8.F.B.5

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

f(t) = a (1 - r)^t

f(t) = a (1 + r)^t

• Three

• Time

• Two

• Total

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.2

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

f(t) = a (1 - r)^t

f(t) = a (1 + r)^t

• Always

• Absolute Value

• Asymptote

• Initial Amount

Tags

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

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

f(t) = a (1 - r)^t

f(t) = a (1 + r)^t

• Radical

• Regular

• Real Time

• Rate of Decay/Growth

Tags

CCSS.HSF.LE.B.5

Hank Aaron owns a rare baseball card. He bought the card for $9.50 in 1987 and its value increases by 7% each year. Write and use an exponential growth or decay function to find the baseball card's value in 2021.

• 9.99

• 94.79

• 947.92

• 17.44

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Ms. Barnes started working at her second job earning $10.14 per hour. Every 6 months, she gets a 2.75% raise. If Ms. Barnes has worked at her second job for 12 years, what is her hourly rate?

• $19.44

• $1.38

• $1.92

• $194.45

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2