Question

completing a rate table

a bread recipe requires 3 cups of flour to make 24 servings.
use this information to complete the table.

\

$$\begin{array}{|c|c|} \\hline \\text{cups of flour} & \\text{number of servings} \\\\ \\hline 1 & a \\\\ \\hline b & 16 \\\\ \\hline 3 & 24 \\\\ \\hline 6 & c \\\\ \\hline \\end{array}$$

a =
b =
c =

Explanation:

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<reasoning>

Find the unit rate

Using the Constant of Proportionality knowledge point
\[
k = \frac{\text{Number of Servings}}{\text{Cups of Flour}} = \frac{24}{3} = 8
\]

Determine the value of a

Using the Representing Proportional Relationships in Tables knowledge point
\[
a = 1 \times 8 = 8
\]

Determine the value of b

Using the Representing Proportional Relationships in Tables knowledge point
\[
b = \frac{16}{8} = 2
\]

Determine the value of c

Using the Representing Proportional Relationships in Tables knowledge point
\[
c = 6 \times 8 = 48
\]
</reasoning>

<answer>
A bread recipe requires 3 cups of flour to make 24 servings. Use this information to complete the table.

\(a =\) <blank>8</blank>
\(b =\) <blank>2</blank>
\(c =\) <blank>48</blank>
</answer>

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"Mathematics",
"Algebra",
"Proportional Relationships"
]
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</post_analysis>

Answer:

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<reasoning>

Find the unit rate

Using the Constant of Proportionality knowledge point
\[
k = \frac{\text{Number of Servings}}{\text{Cups of Flour}} = \frac{24}{3} = 8
\]

Determine the value of a

Using the Representing Proportional Relationships in Tables knowledge point
\[
a = 1 \times 8 = 8
\]

Determine the value of b

Using the Representing Proportional Relationships in Tables knowledge point
\[
b = \frac{16}{8} = 2
\]

Determine the value of c

Using the Representing Proportional Relationships in Tables knowledge point
\[
c = 6 \times 8 = 48
\]
</reasoning>

<answer>
A bread recipe requires 3 cups of flour to make 24 servings. Use this information to complete the table.

\(a =\) <blank>8</blank>
\(b =\) <blank>2</blank>
\(c =\) <blank>48</blank>
</answer>

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"Mathematics",
"Algebra",
"Proportional Relationships"
]
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