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Question
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describe in words how the temperature changes with time, where h is hours since midnight.
t, temperature(°f)
56
48
40
32
24
16
8
t = 40+4h
1 2 3 4 h, hours since midnight
the temperature at midnight was
°f. the temperature increased at a constant rate of
°f per hour.
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hint
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Step1: Find temperature at midnight
Set \(h = 0\) in \(T=40 + 4h\), then \(T=40+4\times0=40\).
Step2: Find rate of temperature increase
The equation is in form \(y = mx + b\) (here \(T=4h + 40\)), the coefficient of \(h\) is the rate. So rate is 4.
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40; 4