Use a proportion to solve each problem. Caffeine. Many...

Use a proportion to solve each problem. Caffeine. Many convenience stores sell super-size 44 -ounce soft drinks in refillable cups. For each of the products listed in the table below, find the amount of caffeine contained in one of the large cups. Round to the nearest milligram. $$ \begin{array}{|l|c|c|} \hline \text { Soft drink } & \begin{array}{c} \text { Milligrams of } \\ \text { caffeine in } \\ \text { 12 ounces } \end{array} & \begin{array}{c} \text { Milligrams of } \\ \text { caffeine in } \\ \text { 44 ounces } \end{array} \\ \hline \text { Mountain Dew } & 55 & ? \\ \hline \text { Pepsi } & 38 & ? \\ \hline \text { Coca-Cola Classic } & 34 & ? \\ \hline \end{array} $$

Use a proportion to solve each problem.
Caffeine. Many convenience stores sell super-size 44 -ounce soft drinks in refillable cups. For each of the products listed in the table below, find the amount of caffeine contained in one of the large cups. Round to the nearest milligram.
$$
\begin{array}{|l|c|c|}
\hline \text { Soft drink } & \begin{array}{c}
\text { Milligrams of } \\
\text { caffeine in } \\
\text { 12 ounces }
\end{array} & \begin{array}{c}
\text { Milligrams of } \\
\text { caffeine in } \\
\text { 44 ounces }
\end{array} \\
\hline \text { Mountain Dew } & 55 & ? \\
\hline \text { Pepsi } & 38 & ? \\
\hline \text { Coca-Cola Classic } & 34 & ? \\
\hline
\end{array}
$$

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Key Concepts

Rounding

Rounding is the process of adjusting a number to a nearby value that has a shorter, simpler, or more explicit representation. In many applications, it is necessary to round numbers to a specified degree of precision, such as to the nearest whole number.

Cross-Multiplication

Cross-multiplication is a technique used to solve proportions by multiplying the numerator of one ratio by the denominator of the other, setting these products equal, and then solving for the unknown quantity.

Scaling

Scaling involves multiplying the known ratio by a factor in order to find a corresponding value for a different quantity. It is useful when increasing or decreasing quantities while maintaining the same ratio or rate.

Ratio

A ratio is a comparison of two quantities that shows how many times one value is contained within the other. It is the basis for setting up proportions by expressing the relationship between two related quantities.

Proportion

A proportion is an equation that states that two ratios are equal. It is used to find an unknown value when the relationship between two sets of quantities is constant.

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