Maths-
SAT
Easy

Question

The amount of heat Q(t), in calories, required to raise the temperature of 20 grams of snow by t degrees Celsius (°C) is defined by a linear function Q. If Q(0) = 0 and Q(3) = 30, how many calories of heat are required to raise the temperature of the snow from -10°C to -4 °C ?

  1. 4
  2. 6
  3. 40
  4. 60

The correct answer is: 60


    We have to calculate slope:
    x1 = 0, x2 = 3, y1 = 0, y2 = 30, slope m = 10
    No y – intercept ; eqn = Q(n) = 10 m
    Q(-10) = - 100 , Q(-4) = - 40
    Since they are asking how much hear in calories was required to raise 20 grams of snow from – 10 c to – 4 c, take difference = - 40 – (- 100) = 60,
    So, option D.

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