Exponential Growth & Decay (1B)

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

• 9600

• 12,800

• 200

• 8000

The horizontal line that a exponential function approaches but never touches

• Asymptote

• Growth Factor

• Axis of Symmetry

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

A car bought for $13,000 depreciates at 12% annually. What will the car be worth after 10 years?

Using a calculator or Desmos, answer the question by plugging in 10 for x. Round your answer to the nearest dollar: $_____

 A flea medicine breaks down at a rate of 20% per hour.  This is the rate of decay of the medicine. The initial dose is 60 milligrams. Which of the following represent the equation the models the amount of flea medicine left in an animal?

Jack invest $600 earning 5% interest rate. How much will he have after 5 years?

• $630

• $729.30

• $765.77

• $4556.25

Which of the following exponential functions represents an initial value of 1450 and a decay of 18% for x years?

Which of the following exponential functions represents an initial value of 1780 and a growth of 18% for x years?​

(a)