AnswersMathematics IIIModeling with Functions — QuizQuestion 8
8
QuizMultiple Choice

Modeling with Functions — Quiz

Question 8 • Mathematics III

A science teacher wrote the table of values. Amount of Hydrogen vs. pH Amount of Hydrogen, x (in moles per liter) pH, f of x 1 tenth 1 1 over 100 2 the fraction with numerator 1 and denominator 1 comma 000 3 the fraction with numerator 1 and denominator 10 comma 000 4 the fraction with numerator 1 and denominator 100 comma 000 5 Which function models the data in the table?

Answer
A
f of x is equal to log the fraction with numerator 1 and denominator x squared , x is not equal to 0
B
f of x is equal to log 1 over x , x is not equal to 0
C
f of x is equal to the fraction with numerator 1 and denominator x squared , x is not equal to 0
D
f of x is equal to 1 over x , x is not equal to 0

Explanation

The table pairs hydrogen amounts 0.1, 0.01, 0.001, and so on with pH values 1, 2, 3, and so on. For each amount x, the pH is log(1/x): for example, log(1/0.01) = log(100) = 2. This matches choice B, f(x) = log(1/x), with x not equal to 0.

AI-written and checked against the verified answer.

Previous
Next

More from this Course

Quiz
23 verified answers

Quiz

Quiz
30 verified answers

Quiz

Quiz
19 verified answers

Quiz