Estimate linear fx

Which of the following is the best estimate for the temperature at 11 PM if the temperature continues to drop at the same rate?
timetemperature °C
3 PM 32
6 PM30
12 PM20

Correct answer:

t =  21.6667 °C

Step-by-step explanation:

t(x)=a x+b  30=6 a+b 20=12 a+b  6a+b=30 12a+b=20  Pivot:Row1Row2 12a+b=20 6a+b=30  Row2126 Row1Row2 12a+b=20 0.5b=20  b=0.520=40 a=1220b=122040=1.66666667  a=351.666667 b=40  t=a 11+b=(1.6667) 11+40=21.6667°C

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