Question

this graph shows the total distance in city blocks,
d(t), that pilar walked as a function of time in
minutes, t.
determine the average rate of change between
t = 20 and t = 90.
submit and explain

Explanation:

Step1: Recall the formula for average rate of change

The formula for the average rate of change of a function \(y = f(x)\) over the interval \([x_1,x_2]\) is \(\frac{f(x_2)-f(x_1)}{x_2 - x_1}\). Here, \(d(t)\) is the function, \(x_1 = 20\), \(x_2=90\), \(f(x_1)=12\), and \(f(x_2) = 19\).

Step2: Substitute the values into the formula

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Answer:

The average rate of change is \(\frac{1}{10}\) blocks per minute.