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-IF.C.8B

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.

Tags

CCSS.HSF-IF.C.8B

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

• Decrease

• Increase

• Depreciate

• Decays

• Grows

Tags

CCSS.HSF-IF.C.8B

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

• Increase

• Decrease

• Grows

• Decays

• Depreciates

Tags

CCSS.HSF-IF.C.8B

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.C.8B

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-IF.C.8B

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-IF.C.8B

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.HSF-LE.A.1C

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.HSF.BF.A.2

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