Question

question
the following table shows the temperature ( t(d) ) in degrees fahrenheit over a period of seven days, where ( d ) represents the day.

find the average rate of change of the temperature from day ( 1(d = 1) ) to day ( 3(d = 3) ).
select the correct answer below:
( 11^{circ} ) per day
( 10^{circ} ) per day
( 5.5^{circ} ) per day
( 1^{circ} ) per day

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function \(y = f(x)\) from \(x=a\) to \(x = b\) is \(\frac{f(b)-f(a)}{b - a}\). Here, \(a = 1\), \(b=3\), \(f(d)=T(d)\), \(T(1) = 78\), and \(T(3)=89\).

Step2: Substitute values into the formula

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Answer:

\(5.5^{\circ}\) per day