Exponents Growth and Decay

Simplify:

• 2

• 8

• 16

• 32

• A
• B
• C
• D

• Exponential Growth

• Exponential Decay

• Neither

Does the following equation represent growth, decay, or neither?

• Exponential Growth

• Exponential Decay

• Neither

Does the following equation represent growth, decay, or neither?

• Exponential Growth

• Exponential Decay

• Neither

What is 'a', the initial amount, for the function: y = 300 (1.16)⁴

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

• y = 5000 (0.70)^x

• y = 5000 (130)^x

• y = 5000 (1.30)^x

• y = 5000 (0.30)^x

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

• y = 1.35 (15)^x

• y = 15 (1.35)^x

• y = 15 (0.35)^x

• y = 0.35 (15)^x

Identify the following terms: For the number 5², the 5 represents the ______ and the 2 represents the _______

• base, product

• exponent, base

• base, exponent

• product, base

Simplify.

• y⁶⁰

• ¹/_y¹⁶

• y^-16

• y⁴