Modeling with Exponential and Logarithmic Equations

Question 1

Which equation can you use to solve this problem?

Revolt · Accepted Answer

C:

Question 2

The equation for the pH of a substance is pH = –log[H+], where H+ is the concentration of hydrogen ions. What is the approximate pH of a solution if the concentration of hydrogen ions is 5.0 × 10–4 moles per liter?

Revolt · Accepted Answer

C: 3.3

Question 3

The general equation for depreciation is given by y = A(1 – r)t, where y = current value, A = original cost, r = rate of depreciation, and t = time, in years. The original value of a car is $24,000. It depreciates 15% annually. What is its value in 4 years? $

Revolt · Accepted Answer

12,528.15

Question 4

Question 4

Revolt · Accepted Answer

6

Question 5

The loudness of a jack hammer is 96 dB. Its sound intensity is about 0.0096✔ 0.0040.0021.

Revolt · Accepted Answer

B: 0.004

Question 6

a = ⇒ -76.204 b =

Revolt · Accepted Answer

Part 2: 37.673

Question 7

b =

Revolt · Accepted Answer

37.673

Question 8

How would you explain the relationship between the real zero(s) of the function and x-intercept(s) of the graph?

Revolt · Accepted Answer

B: Since the graph never crosses the x-axis, the function has no real zeros.

Question 9

Which equation has real zeros corresponding to the x-intercepts of the graph?

Revolt · Accepted Answer

A: y = log3(x) – 1

Question 10

After 100 years, about 60100✔ 115 grams of the sample will remain.

Revolt · Accepted Answer

C: 115

Modeling with Exponential and Logarithmic Equations Answers

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