Determine the rate of change of the relation modeled in the table below.
X: 0, 4, 8, 12
F(x): 3, 6, 9, 12
Slope =
Type your answer in simplest fraction form c/d.
To find the rate of change, we need to calculate the slope of the line passing through the points (0,3) and (12,12).
Slope = (change in y) / (change in x)
(change in y) = 12 - 3 = 9
(change in x) = 12 - 0 = 12
Slope = 9/12 = 3/4
Therefore, the rate of change of the relation modeled in the table is 3/4.
To determine the rate of change of the relation modeled in the table, we can calculate the slope between any two points.
Let's take the coordinates (0, 3) and (4, 6) from the table. The slope between these two points can be calculated using the formula:
slope = (change in y)/(change in x)
change in y = 6 - 3 = 3
change in x = 4 - 0 = 4
So, the slope between these two points is 3/4.
Similarly, if we calculate the slope between the other pairs of points, we will get the same value: 3/4.
Therefore, the rate of change of the relation modeled in the table is 3/4.
To determine the rate of change, we need to calculate the slope of the relation. The slope is determined by finding the difference in the values of F(x) corresponding to different values of X and dividing it by the difference in the values of X.
Using the table, we can find the differences in X and F(x):
- Difference in X: 4 - 0 = 4
- Difference in F(x): 6 - 3 = 3
Therefore, the slope (rate of change) is found by dividing the difference in F(x) by the difference in X:
Slope = Difference in F(x) / Difference in X
= 3 / 4
So, the rate of change is 3/4.