Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

The nutrition facts on a container of mini pretzels state that each serving of the mini pretzels contains 310 milligrams of sodium, which is 
13% of the recommended daily value for adults. If 
x servings of mini pretzels contain 
p percent of an adult's recommended daily value of sodium, which of the following expresses 
p in terms of 
x ?
Choose 1 answer:
(A) 
p=(1.13)^(x)
(B) 
p=310(0.13)^(x)
(C) 
p=13 x
(D) 
p=310(0.13 x)

The nutrition facts on a container of mini pretzels state that each serving of the mini pretzels contains 310310 milligrams of sodium, which is 13% 13 \% of the recommended daily value for adults. If x x servings of mini pretzels contain p p percent of an adult's recommended daily value of sodium, which of the following expresses p p in terms of x x ?\newlineChoose 11 answer:\newline(A) p=(1.13)x p=(1.13)^{x} \newline(B) p=310(0.13)x p=310(0.13)^{x} \newline(C) p=13x p=13 x \newline(D) p=310(0.13x) p=310(0.13 x)

Full solution

Q. The nutrition facts on a container of mini pretzels state that each serving of the mini pretzels contains 310310 milligrams of sodium, which is 13% 13 \% of the recommended daily value for adults. If x x servings of mini pretzels contain p p percent of an adult's recommended daily value of sodium, which of the following expresses p p in terms of x x ?\newlineChoose 11 answer:\newline(A) p=(1.13)x p=(1.13)^{x} \newline(B) p=310(0.13)x p=310(0.13)^{x} \newline(C) p=13x p=13 x \newline(D) p=310(0.13x) p=310(0.13 x)
  1. Understanding the relationship: Understand the relationship between the number of servings and the percentage of daily value.\newlineEach serving of mini pretzels contains 310310 milligrams of sodium, which is 13%13\% of the recommended daily value. If xx is the number of servings, then the total amount of sodium in xx servings is 310310 milligrams times xx. The percentage of the recommended daily value for xx servings will be 13%13\% times xx.
  2. Writing the expression for pp: Write the expression for pp, the percentage of the recommended daily value in xx servings.\newlineSince each serving is 13%13\% of the daily value, xx servings will be 13%13\% of the daily value multiplied by xx. Therefore, the expression for pp is: \newlinep=13×xp = 13 \times x.
  3. Matching the expression for pp: Match the expression for pp with the given options.\newlineThe correct expression for pp is p=13×xp = 13 \times x. This matches with option (C) p=13xp = 13x.

More problems from Solve a system of equations using any method: word problems