A school is keeping track of the number of tickets remaining for its year-end festival. The table shows the number of sales for the first, second, third, and fourth weeks of the month leading up to the festival. Which graph could represent the data shown in the table?
Day | Tickets
1 | 800
2 | 371
3 | 182
4 | 78
Please explain. I am not sure how to solve these. Thanks so much!
To determine which graph could represent the data given in the table, we need to understand the characteristics of different types of graphs and how they can visually represent numerical data.
One common type of graph for representing numerical data is a line graph. A line graph uses a series of data points connected by lines to show the change in a variable over time.
Another type of graph that could represent this data is a bar graph. A bar graph uses rectangular bars to compare different categories or groups. In this case, the days could be the categories, and the height of the bars could represent the number of tickets sold.
To determine if the given data is suitable for a line graph or a bar graph, we can consider the characteristics of the data. In this case, the data represents the number of ticket sales over a period of four weeks. Since the data involves a continuous change over time, a line graph would be a suitable choice.
To create a line graph for the given data, we can plot the number of tickets sold on the vertical axis and the days on the horizontal axis. Each data point can be represented by a dot on the graph, and then the dots can be connected using lines.
Here is an example of how the line graph would look like using the given data:
```
Number of Tickets
900| .
|
800| .
|
700|
|
600| .
|
500| .
|
400|
|
300|
|
200|
|
100|
+-------------------------
1 2 3 4 5 6 7 ...
Days
```
In this line graph, the vertical axis represents the number of tickets, while the horizontal axis represents the days. Each data point is represented by a dot, and the dots are connected using lines. This graph shows the change in the number of ticket sales over the four-week period leading up to the festival.
Remember that when interpreting the graph, the height of the line at any given point represents the number of tickets sold on that particular day.
To represent the given data in a graph, we need to choose a type of graph that can effectively display the ticket sales over the four weeks leading up to the festival.
Since the data involves a continuous change in the number of tickets sold each day, a line graph would be the most appropriate choice. A line graph is used to show the change in data over time.
In the table, the data is already organized by days. The "Day" column represents the x-axis (horizontal axis) and the "Tickets" column represents the y-axis (vertical axis).
To create the line graph, plot the points on the graph where the x-coordinate represents the day and the y-coordinate represents the number of tickets sold. Connect the points with straight lines to show the overall trend.
In this case, the line graph would show a steep decline in the number of tickets sold over the four weeks leading up to the festival.