How do I graph a direct variation when x=10, 20, 30, 40, and y = 4.5, 9.00, 13.50,18.00
Put x on graph going up by 10 and put y on graph at the bottom going across
I am unsure of rest
To graph a direct variation, you need to plot the given points (x, y) on a graph and then connect them with a straight line. In this case, you have the following points:
(x, y) = (10, 4.5), (20, 9.00), (30, 13.50), (40, 18.00)
1. Start by drawing the x and y axes on a graph paper. Label the x-axis with the values of x (10, 20, 30, 40) and the y-axis with the values of y (4.5, 9.00, 13.50, 18.00).
2. Plot your points on the graph. For example, for the point (10, 4.5), find the intersection of the x = 10 line and the y = 4.5 line and place a point there. Repeat this process for the other points.
3. Once all the points are plotted, connect them with a straight line. This line represents the direct variation relationship between x and y.
It is important to note that in a direct variation, the relationship between x and y is proportional. This means that for every increase in x, there is a corresponding increase in y, and the ratio of y to x remains constant.
By graphing the points and connecting them with a line, you can visually see the direct variation relationship between x and y and observe any patterns or trends.