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A tropical punch recipe calls for
300ml of sugar for every 2 flavor packages.
Write an equation that shows the relationship between
s, the amount of sugar in milliliters, and
f, the number of flavor packages for this recipe.

A tropical punch recipe calls for $300 \mathrm{ml}$ of sugar for every $2$ flavor packages. $\newline$ Write an equation that shows the relationship between $s$ , the amount of sugar in milliliters, and $f$ , the number of flavor packages for this recipe.

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Write linear functions: word problems

Full solution

Q. A tropical punch recipe calls for

300 \mathrm{ml}

of sugar for every

2

flavor packages.

\newline

Write an equation that shows the relationship between

s

, the amount of sugar in milliliters, and

f

, the number of flavor packages for this recipe.

Identify Constants and Variables: Identify the constants and variables in the problem. $\newline$ The problem states that $300\,\text{ml}$ of sugar is used for every $2$ flavor packages. We need to find the relationship between the amount of sugar $(s)$ and the number of flavor packages $(f)$ .
Determine Unit Rate: Determine the unit rate of sugar to flavor packages. $\newline$ The unit rate is the amount of sugar needed for one flavor package. Since $300\,\text{ml}$ of sugar is needed for $2$ flavor packages, we divide $300\,\text{ml}$ by $2$ to find the amount of sugar per flavor package. $\newline$ Calculation: $300\,\text{ml} / 2 = 150\,\text{ml}$ per flavor package.
Write Equation: Write the equation using the unit rate. $\newline$ The equation that represents the relationship between the amount of sugar $s$ and the number of flavor packages $f$ is $s = 150 \times f$ , where $150$ ml is the amount of sugar needed for each flavor package.

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