Rewriting Exponential Functions

Question 1

Choose all equivalent expression(s).

Revolt · Accepted Answer

B: ; C:

Question 2

Which of the following functions represent exponential growth?

Revolt · Accepted Answer

A: ; B: ; C:

Question 3

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

Revolt · Accepted Answer

D: Martin: 200(1.05)y Cary: 200(1.05)y–4

Question 4

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

Revolt · Accepted Answer

B: S = 800(0.5)h

Question 5

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 6

What is the half-life for the zombie population? Explain in terms of exponents. (To type an exponent, use the ^ key.)

Revolt · Accepted Answer

To find the half-life, the exponential part of the function (0.5)^(t/8) needs to equal 0.5. This happens when the exponent t/8 equals 1. Solving for t, we get t = 8. Therefore, the half-life is 8 units of time (such as hours or days), because at t = 8, the base of 0.5 is raised to the power of 1, resulting in half of the initial population.

Question 7

years older than Zöe.

Revolt · Accepted Answer

3

Question 8

Choose all equivalent expression(s).

Revolt · Accepted Answer

C: ; D:

Question 9

Which of the following functions represent exponential decay?

Revolt · Accepted Answer

B: ; C: ; D:

Question 10

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

Revolt · Accepted Answer

D: M = 1.22C

Rewriting Exponential Functions Answers

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