a given graph pases through points (18,25) and (19,100)
a) compute delta x
b) assume graph is linear and find slope
c) assume its exponential and find growth factor
To answer the given questions, let's go step by step:
a) Computing delta x:
Delta x represents the change in the x-values of two given points. In this case, the two given points are (18,25) and (19,100). Delta x can be calculated by subtracting the x-coordinate of the first point from the x-coordinate of the second point.
Delta x = 19 - 18 = 1
b) Assuming the graph is linear and finding the slope:
To find the slope of a linear graph, we need to calculate the change in y (delta y) divided by the change in x (delta x). In this case, delta y can be calculated by subtracting the y-coordinate of the first point from the y-coordinate of the second point.
Delta y = 100 - 25 = 75
Slope = Delta y / Delta x = 75 / 1 = 75
c) Assuming the graph is exponential and finding the growth factor:
To determine the growth factor of an exponential graph, we need to find the ratio of the y-coordinate of the second point to the y-coordinate of the first point, raised to the power of 1 divided by delta x.
In this case, the ratio can be calculated by dividing the y-coordinate of the second point (100) by the y-coordinate of the first point (25).
Ratio = 100 / 25 = 4
Growth Factor = Ratio^(1 / Delta x) = 4^(1 / 1) = 4
Therefore,
a) Delta x = 1
b) Slope of the linear graph = 75
c) Growth factor of the exponential graph = 4