Question

according to the graph, what was the rate of change between february and may?
ethan, a doctors office receptionist, tracked the average waiting time at the office each
month.
average waiting time at a
doctors office

Explanation:

Step1: Identify the formula for rate of change

The rate of change (slope) formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Here, \(y\) represents waiting - time (in minutes) and \(x\) represents the month. Let \(x_1\) (February) \( = 2\), \(y_1=36\); \(x_2\) (May) \(=5\), \(y_2 = 50\).

Step2: Substitute values into the formula

Substitute the values into the formula \(m=\frac{50 - 36}{5 - 2}\). First, calculate the numerator \(50−36 = 14\) and the denominator \(5 - 2=3\).

Answer:

\(\frac{14}{3}\text{ minutes per month}\)