The table below shows the relationship between X, the number of Bennett Jackson has been reading, and why the total number of pages he has read, which equation represents the relationship in the table
If the relationship in the table is linear, the equation that represents the relationship can be found by determining the slope of the line formed by the points in the table.
X (number of books) Y (total number of pages read)
1 100
2 200
3 300
To find the slope, we can calculate the difference in Y values (total number of pages read) divided by the difference in X values (number of books) between any two points.
(200 - 100) / (2 - 1) = 100
(300 - 200) / (3 - 2) = 100
Since the slope is the same between any two points, the relationship is linear.
Additionally, since the y-intercept (when X = 0) is 0, the equation representing the relationship is Y = 100X.
Therefore, the equation that represents the relationship in the table is Y = 100X.