Temperature - linear function

In the morning, at 08:00 hours, the temperature was -8°C, and in the afternoon, at 16:00 hours, the temperature was 24°C. Assuming that the temperature changes steadily, what was the temperature at 1300 hours, and what was the time when the temperature was 8°C?

Correct answer:

t3 =  12 °C
T4 =  12 h

Step-by-step explanation:

t1=8 °C t2=24 °C  T1=8.00 h T2=16.00 h T3=13.00 h  t1=k T1+q t2=k T2+q (8)=k 8+q 24=k 16+q  8k+q=8 16k+q=24  Pivot:Row1Row2 16k+q=24 8k+q=8  Row2168 Row1Row2 16k+q=24 0.5q=20  q=0.520=40 k=1624q=1624+40=4  k=4 q=40  t3=k T3+q=4 13+(40)=12°C
t4=8 °C  t4=k T4+q 8=4 T4+(40)  4T4=48  T4=448=12  T4=12=12 h

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