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, h, the average number of hours a user spent each month.

Explanation:

Step1: Analyze the trend

The usage starts at 10 in 2018, increases to 12.5 in 2020, then decreases to 11 in 2021. We need to check which graph shows this trend.

Step2: Evaluate each option

• Option A: Check the values over years. The peaks and troughs should match 10 (2018), 12.5 (2020), 11 (2021).
• Option B: Doesn't match the increase then decrease with correct values.
• Option C: The initial and final values don't align with 10 (2018) and subsequent changes.
• Option D: The shape and values don't correspond to the given trend.

After analyzing, Option A shows the correct trend of starting at 10, increasing to 12.5, then decreasing to 11 over the years.

Answer:

A. (The graph corresponding to Option A which shows the trend of 10 in 2018, 12.5 in 2020, and 11 in 2021)