Question the-ta

1.2 Linear Equations in One Variable - Word problems with linear equations
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The figure presents a 3-column table, with 3 rows of data, titled “Energy per Gram of Typical Macronutrients.” The heading for column 1 is “Macronutrient,” the heading for column 2 is “Food calories,” and the heading for column 3 is “Kilojoules.” The 3 rows of data are as follows. Row 1.Macronutrient, Protein; Food calories, 4 point zero; Kilojoules, 16 point 7. Row 2. Macronutrient, Fat; Food calories, 9 point zero; Kilojoules, 37 point 7. Row 3. Macronutrient, Carbohydrate; Food calories, 4 point zero; Kilojoules, 16 point 7.

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c ?

 

A.

f equals, 20 plus the fraction 4 over 9, end fraction, times, open parenthesis, p plus c, close parenthesis

B.

f equals, 20 minus the fraction 4 over 9, end fraction, times, open parenthesis, p plus c, close parenthesis

C.

f equals, 20 minus the fraction 4 over 9, end fraction, times, open parenthesis, p minus c, close parenthesis

D.

f equals, 20 plus the fraction 9 over 4, end fraction, times, open parenthesis, p plus c, close parenthesis