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C=105+(7)/(24)m A nutritionist uses the given equation as a measure of the total Calories, C, in a half bagel covered in m grams of cream cheese. What is the best interpretation of 24 as shown in the equation? Choose 1 answer: (A) A half bagel with no cream cheese has 24 Calories. (B) A half bagel and 24 grams of cream cheese have the same number of Calories. (C) The number of Calories increases by 24 for every additional 7 grams of cream cheese. (D) The number of grams of cream cheese increases by 24 for every additional 7 Calories.

C=105+724m C=105+\frac{7}{24} m \newlineA nutritionist uses the given equation as a measure of the total Calories, C C , in a half bagel covered in m m grams of cream cheese. What is the best interpretation of 2424 as shown in the equation?\newlineChoose 11 answer:\newline(A) A half bagel with no cream cheese has 2424 Calories.\newline(B) A half bagel and 2424 grams of cream cheese have the same number of Calories.\newline(C) The number of Calories increases by 2424 for every additional 77 grams of cream cheese.\newline(D) The number of grams of cream cheese increases by 2424 for every additional 77 Calories.

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Full solution

Q. C=105+724m C=105+\frac{7}{24} m \newlineA nutritionist uses the given equation as a measure of the total Calories, C C , in a half bagel covered in m m grams of cream cheese. What is the best interpretation of 2424 as shown in the equation?\newlineChoose 11 answer:\newline(A) A half bagel with no cream cheese has 2424 Calories.\newline(B) A half bagel and 2424 grams of cream cheese have the same number of Calories.\newline(C) The number of Calories increases by 2424 for every additional 77 grams of cream cheese.\newline(D) The number of grams of cream cheese increases by 2424 for every additional 77 Calories.
  1. Identify Components: The equation is C=105+(724)mC = 105 + \left(\frac{7}{24}\right)m. Let's identify the components of the equation.
  2. Constant 105105: The constant 105105 represents the Calories in a half bagel without cream cheese.
  3. Fraction (724):</b>The<ahref="https://www.bytelearn.com/math−topics/fractions"target="blank"class="backlink">fraction</a>$(724)(\frac{7}{24}):</b> The <a href="https://www.bytelearn.com/math-topics/fractions" target="_blank" class="backlink">fraction</a> \$(\frac{7}{24}) is the rate at which Calories increase per gram of cream cheese added.
  4. Variable mm: The variable mm represents the grams of cream cheese.
  5. Denominator 2424: The number 2424 in the denominator of the fraction (724)(\frac{7}{24}) indicates how many grams of cream cheese are needed for an increase of 77 Calories.
  6. Calories Increase Explanation: So, for every 2424 grams of cream cheese added, the total Calories increase by 77.
  7. Incorrect Option Explanation: This means that option (C) ＂The number of Calories increases by 2424 for every additional 77 grams of cream cheese＂ is incorrect because it's the other way around.

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