SAT question 954943a4 (Percentages)

Question

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 $x$ ?

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Difficulty:Hard

A

$p = 0.5 x$

B

$p = 5 x$

C

$p = (0.05)^{x}$

D

$p = (1.05)^{x}$

College Board · Accepted Answer

The correct answer is B. 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 × 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 .

CookSAT · Answer

Note: Each serving gives 5% of the daily allowance, so x servings give p = 5x percent.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 954943a4: Percentages answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong