Writing Exponentials

Write the exponential equation that represents the following situation

Initial Amount : 45

Growth 60%

• y=60 (1.45)^x

• y=45 (1.60)^x

• y=45 (0.40)^x

• y=60 (0.45)^x

Write the exponential equation that represents the following situation

Initial Amount : 100

Decay 30%

• y=100 (0.70)^x

• y=30 (1.00)^x

• y=20 (0.10)^x

• y=100 (1.30)^x

Write the exponential equation that represents the following situation

Initial Amount : 65

Decay 45%

• y=65 (0.55)^x

• y=45 (1.65)^x

• y=66 (1.45)^x

• y=45 (0.65)^x

Write the exponential equation that represents the following situation

Initial Amount : 50

Growth 25%

• y=25 (0.75)^x

• y=25 (1.25)^x

• y=50 (0.75)^x

• y=50 (1.25)^x

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x
• y=1.09(1400)^x
• y=1400(.91)^x
• y=1.09^x

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x
• y=15,000(1.08)^x
• y=15,000(0.92)^x
• y=15,000(0.08)^x

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

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