1.

Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is 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 thedaily 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 ?

Answer»

p = 0.5x
p = 5x
`p=(0.05)^x`
`p=(1.05)^x`

Solution : 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 POTASSIUMCAN be expressed as p = 5x.
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 D are incorrect because the CONTEXT should be represented by a linear relationship, not by an exponential relationship.


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