AnswersAlgebra IPretestQuestion 5
5
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Question 5 • Algebra I

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces. Which table contains only viable solutions if b represents the number of books he orders and w represents the total weight of the books, in ounces?

Answer
A
Table with 2 columns and 6 rows.Row 1: Column 1, 'Books b'; Column 2, 'Weight w' Row 2: Column 1, 'negative 1'; Column 2, 'negative 6' Row 3: Column 1, 'negative 0 point 5'; Column 2, 'negative 3' Row 4: Column 1, '0'; Column 2, '0' Row 5: Column 1, '0 point 5'; Column 2, '3' Row 6: Column 1, '1'; Column 2, '6'
B
Table with 2 columns and 6 rows.Row 1: Column 1, 'Books b'; Column 2, 'Weight w' Row 2: Column 1, '0'; Column 2, '0' Row 3: Column 1, '0 point 5'; Column 2, '3' Row 4: Column 1, '1'; Column 2, '6' Row 5: Column 1, '1 point 5'; Column 2, '9' Row 6: Column 1, '2'; Column 2, '12'
C
Table with 2 columns and 6 rows.Row 1: Column 1, 'Books b'; Column 2, 'Weight w' Row 2: Column 1, 'negative 2'; Column 2, 'negative 12' Row 3: Column 1, 'negative 1'; Column 2, 'negative 6' Row 4: Column 1, '0'; Column 2, '0' Row 5: Column 1, '1'; Column 2, '6' Row 6: Column 1, '2'; Column 2, '12'
D
Table with 2 columns and 6 rows.Row 1: Column 1, 'Books b'; Column 2, 'Weight w' Row 2: Column 1, '0'; Column 2, '0' Row 3: Column 1, '1'; Column 2, '6' Row 4: Column 1, '2'; Column 2, '12' Row 5: Column 1, '3'; Column 2, '18' Row 6: Column 1, '4'; Column 2, '24'

Explanation

Each book weighs 6 ounces, so the total weight is w = 6b. Since b is the number of books ordered, it must be a nonnegative whole number; fractional or negative numbers of books are not viable. Choice D has only whole-number book counts from 0 to 4, and each weight is 6 times the number of books, so it contains only viable solutions.

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