Mathematics
Grade10
Easy
Question
Mathew wants to predict how much gas is left in her tank based on the distance she has driven. She filled up her tank and measured the amount of gas in her tank (in liters) after driving certain distances (in kilometers). Her data is summarized in the table below.

All of the scatter plots below display the data correctly, but which one of them displays the data best? By convention, a good scatter plot uses a reasonable scale on both axes and puts the explanatory variable on the x-axis.


- Graph A
- Graph B
- Graph C
- Graph D
Hint:
Make a graph by taking the distance travelled on the x-axis and gas left on the y-axis.
The correct answer is: Graph D
By convention, a good scatter plot has the explanatory variable labeled on the horizontal x-axis and the response variable labeled on the vertical y-axis.
Megan wants to use distance to predict gas left. The variable being predicted is the response variable because its value changes in response to the other variable.
So, distance is the explanatory variable, and it goes on the horizontal axis. Gas left is the response variable, and it goes on the vertical axis.
A good scatter plot has a reasonable scale for both axes that makes the data easy to read.
The scales in graph A and graph B are not reasonable because they create a lot of blank space and make the data difficult to read.
Graph D displays the data, the best since it has the variables on the correct axes and uses reasonable scaling.
The points on the graph should be:
>>>(50,0); (42.2,100); (34.2,200); (26,300); (17.6,400); (9.1,500)
>>>Plot these points on the graph and choose the best option that matches our graph.