Question
Refer to the following information.
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 ?
Energy per Gram of Typical Macronutrients
The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food
The correct answer is:
HINT – Form an equation with p , f and c plus total food calories given
SOLUTION – It is given that Protein = p grams
Fats = f grams
Carbohydrate = c grams
According to question, total food calories in granola bar = 180
4 p + 9 f + 4 c = 180
4 (p + c) + 9 f = 180
9 f = 180 – 4 (p + c)
f =
f = 20 - (p + c)
So, option B is correct
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Refer to the following information.
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Energy per Gram of Typical Macronutrients
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h(t) = -16t2 + 110t + 72 The function above models the height h, in feet, of an object above ground t seconds after being launched straight up in the air. What does the
number 72 represent in the function?
Quadratic functions are expressed in the standard form. The terms are written in standard form in decreasing order, with the constant coming in last and the phrase with the highest exponent coming first.
The use of standard form is widespread. The format that is used when performing calculations on paper. A is 1, B is 5, and C is 6 in this illustration. There are additional forms, though.
The solutions or the roots of the quadratic equation are written as products to be multiplied in a different form known as factored form. The quadratic equation is a second-order polynomial equation in one variable with the formula x.
The equation x, a x 2 + bx + c = 0 with a ≠ 0 is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation guaranteed by the fundamental algebraic theorem. The answer could be simple or complicated.