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Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is $\frac{3}{4}$ cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is $5 \%$ of the daily allowance for adults. If $p$ percent of an adult's daily allowance of potassium is provided by $x$ servings of Crunchy Grain cereal per day, which of the following expresses $p$ in terms of $x$ ?

SAT · Math · previous-year question

  1. A.$p=0.5 x$
  2. B.$p=5 x$correct
  3. C.$p=(0.05)^{x}$
  4. D.$p=(1.05)^{x}$

Answer

B. $p=5 x$

Explanation

Choice B is correct. It's given that each serving of Crunchy Grain cereal provides $5 \%$ of an adult's daily allowance of potassium, so $x$ servings would provide $x$ times $5 \%$. The percentage of an adult's daily allowance of potassium, $p$, is 5 times the number of servings, $x$. Therefore, the percentage of an adult's daily allowance of potassium can be expressed as $p=5 x$.Choices A, C, and D are incorrect and may result from incorrectly converting $5 \%$ to its decimal equivalent, which isn't necessary since $p$ is expressed as a percentage. Additionally, choices $C$ and $\mathrm{D}$ a

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