Question
A large retailer calculated the average hourly wage of employees over 6 years. The following table shows the years since 2016 and the average hourly wage of an employee at that time.
Years (since 2016) 0 1 2 3 4 5 6
Hourly Wage (in dollars) 9 9.5 10 11 12 13 14
Which of the following representations is most appropriate for showing the change in the average hourly wage each year?
scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14
line graph with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, 6 comma 14, and line segments connecting each point
scatter plot with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 9 comma 0, 9 and a half comma 1, 10 comma 2, 11 comma 3, 12 comma 4, 13 comma 5, and 14 comma 6
Years (since 2016) 0 1 2 3 4 5 6
Hourly Wage (in dollars) 9 9.5 10 11 12 13 14
Which of the following representations is most appropriate for showing the change in the average hourly wage each year?
scatter plot with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, and 6 comma 14
line graph with the title average hourly wage and the x axis labeled years since 2016 and the y axis labeled hourly wage in dollars, with points at 0 comma 9, 1 comma 9 and a half, 2 comma 10, 3 comma 11, 4 comma 12, 5 comma 13, 6 comma 14, and line segments connecting each point
scatter plot with the title average hourly wage and the x axis labeled hourly wage in dollars and the y axis labeled years since 2016, with points at 9 comma 0, 9 and a half comma 1, 10 comma 2, 11 comma 3, 12 comma 4, 13 comma 5, and 14 comma 6
Answers
GPT-4o mini
The most appropriate representation for showing the change in the average hourly wage each year is the **line graph with the title "Average Hourly Wage"**. This graph should have the x-axis labeled "Years Since 2016" and the y-axis labeled "Hourly Wage in Dollars". It will incorporate points at (0, 9), (1, 9.5), (2, 10), (3, 11), (4, 12), (5, 13), and (6, 14), with line segments connecting each point.
A line graph is particularly suitable for displaying changes over time, as it clearly illustrates trends and the continuity of the data, which is particularly useful when observing changes across consecutive years.
A line graph is particularly suitable for displaying changes over time, as it clearly illustrates trends and the continuity of the data, which is particularly useful when observing changes across consecutive years.