Maths-
General
Easy

Question


The scatterplot above shows the numbers of grams of both total protein and total fat for eight sandwiches on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which of the following is closest to the predicted increase in total fat, in grams, for every increase of 1 gram in total protein?

  1. 2.5
  2. 2.0
  3. 1.5
  4. 1.0

The correct answer is: 1.5


    HINT – Increase in total fat for every increase of 1 g in total protein is given by slope of the line of best fit.
    SOLUTION – We require two points to find the slope of the line of best fit.
    Observing the line of best fit let first point be x1 = 10 , y1 = 20 and second point be x2 = 35 , y2 = 55.    ( approx. values)
    Slope of the line of best fit = fraction numerator y subscript 2 minus y subscript 1 over denominator x subscript 2 minus x subscript 1 end fraction
    table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell equals fraction numerator 55 minus 20 over denominator 35 minus 10 end fraction equals 35 over 25 end cell row cell equals 7 over 5 equals 1.4 end cell end table
    Since closest value is asked in the question,
    Option C is true

    A gram of Carbohydrates contain '4' calories, a gram of protein contains '4' calories, and a gram of fat contains '9' calories. Because one gram of fat contains '9' calories, divide the total number of calories by 9. 400, calories divided by 9 equals 44 grams. Then multiply 700 calories by 9 to obtain 78 grams.
    To calculate total fat, look for the amount of fat found per serving of food in grams to determine its fat content. For example, if '1' teaspoon of butter weighs 4.7 grams and contains 3.8 grams of fat, you'll know that fat makes up about 80% of its weight.

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