Rewriting Exponential Functions

Question 1

Is this exponential growth or decay? Explain using your understanding of the properties of exponents. (To type exponents, use the ^ key.)

Revolt · Accepted Answer

This is exponential decay. The property of negative exponents states that a^(-n) = 1/a^n, so 2^(-t/8) can be rewritten as (1/2)^(t/8) or 0.5^(t/8). Because the base (0.5) is between 0 and 1, the function represents decay.

Question 2

Choose all equivalent expression(s).

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/6129-01-08-20-01-task/mr001-2.jpg; Answer image: https://media.edgenuity.com/EVresources/6129-01-08-20-01-task/mr001-3.jpg

Question 3

Choose all equivalent expression(s).

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/EVresources/6129-01-08-20-01-task/mr002-4.jpg; Answer image: https://media.edgenuity.com/EVresources/6129-01-08-20-01-task/mr002-5.jpg

Question 4

Choose the pair of expressions that describe the accounts y years after Martin opened his account.

Revolt · Accepted Answer

Martin: 200(1.05)y Cary: 200(1.05)y–4

Question 5

Choose the equation that relates the balances in the accounts y years after Martin opened his account.

Revolt · Accepted Answer

M = 1.22C

Question 6

Which expression represents the mass of sodium remaining after h half-lives?

Revolt · Accepted Answer

S = 800(0.5)h

Question 7

Which expression relates h, the number of half-lives, and y, the number of years?h = 2.6 + yh = 2.6 – yh = 2.6y✔ h = y/2.6

Revolt · Accepted Answer

h = y/2.6

Question 8

Combine the first two equations and laws of exponents to find the equation for the mass of sodium remaining after y years.

Revolt · Accepted Answer

S = 800(0.766)y

Question 9

Approximately how many milligrams of sodium remain after 8.4 years? ✔ 85.2 mg95.2 mg247.6 mg645.5 mg

Revolt · Accepted Answer

85.2 mg

Rewriting Exponential Functions Answers

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