Question

the average number of hours a user spent each month on a particular site increased from 10 in 2018 to 12.5 in 2020, then decreased to 11 in 2021. use a graph that displays the average monthly hours spent on the site as a function of time to estimate the monthly usage for 2019 and for 2023. choose the correct graph. let the horizontal axis, t, represent the year and the vertical axis represent the average number of hours a user spent each month. the average number of hours a user spent each month for the year 2019 is dropdown with options: 8, 11.25, 8.75, 12.5

Explanation:

Step1: Analyze the trend

The usage increased from 10 (2018) to 12.5 (2020), then decreased to 11 (2021). We need to find the value for 2019, which is between 2018 (10) and 2020 (12.5). The mid - point (or a reasonable estimate) between 10 and 12.5 can be calculated as the average of 10 and 12.5.
The formula for the average of two numbers \(a\) and \(b\) is \(\frac{a + b}{2}\). Here, \(a = 10\) and \(b=12.5\).

Step2: Calculate the average

Substitute the values into the formula: \(\frac{10 + 12.5}{2}=\frac{22.5}{2}=11.25\)

Answer:

11.25