Question

the outside temperature (in degrees celsius) is modeled as a function of time.
consider this graph of the function.
find the average rate of change in temperature, measured as degrees celsius per hour,
between 7:30 and 9:30. enter your answer to the nearest whole number.

Explanation:

Step1: Determine the time interval

The time interval from 7:30 to 9:30 is \(2\) hours.

Step2: Find the temperature values at the endpoints

At \(7:30\), the temperature \(y_1 = 1.5\) degrees Celsius. At \(9:30\), the temperature \(y_2 = 8\) degrees Celsius.

Step3: Calculate the average rate of change

The formula for the average rate of change is \(\frac{y_2 - y_1}{x_2 - x_1}\). Substituting the values: \(\frac{8 - 1.5}{2}=\frac{6.5}{2}=3.25\)

Answer:

\(3\)