Maths-
General
Easy

Question

Recommendations for safely thawing a frozen turkey are provided on the packaging
a) What is thaw rate of the turkey in hours per pound for refrigerator thawing ? For cold water thawing ?
b) Write a linear function in the form y = mx + b to represent the time ,t, in hours , it takes to thaw a turkey in the refrigerator as a function of the weight ,W, in pounds of the turkey.

hintHint:

Convert day/ minute into hour

The correct answer is: a) Rate for refrigerator thawing = 1 fourth day per pound Rate for cold water thawing = half hour per pound, b) t = 6W


    SOL –  (a) Thaw rate of the turkey is given by slope
    In the figure, refrigerator thawing : 1 day for every 4 pounds
    rightwards double arrow Rate for refrigerator thawing = 1 fourth day per pound
    We have been asked to find rate in hour per pound and we know that 1 day = 24 hours
    So, Rate for refrigerator thawing =   24 hour per pound
    = 6 hour per pound   ---- (1)
    Also, in the figure, cold water thawing : 30 minutes per pound
    rightwards double arrow Rate for cold water thawing = 30 minutes per pound
    We know that 1 hour = 60 minutes
    rightwards double arrow 1 minute = 1 over 60 hours
    So, Rate for cold water thawing = 30 cross times 1 over 60  hour per pound
    = 1 half hour per pound.

    (b) Time taken to thaw a turkey in refrigerator = t hours
    Weight of the turkey = W pound
    Equation of the line is (y – y1)  = m(x – x1) where m is slope.
    m = 6 hour per pound                  -  From (1)
    Now, it is given that refrigerator thawing : 24 hours for every 4 pounds i.e. (24 , 4)
    So, (t – 24) = 6 (W – 4)
    t – 24 = 6W – 24
    t = 6W

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