AnswersMath 3PretestQuestion 1
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Question 1 • Math 3

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

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