Months: 1,2,4,6
Total Cost ($): 25,50,100,150
b) What is the equation for FlexZone? [2pts]
(Provide the equation in y = mx + b form)
Type equation here
We are given the data for the months (x) and the corresponding total cost (y). To find the equation for FlexZone, we need to determine the linear relationship between the two variables.
Let's first find the slope (m) of the line by using the formula:
m = (y2 - y1) / (x2 - x1)
Taking the points (x1, y1) = (1, 25) and (x2, y2) = (6, 150):
m = (150 - 25) / (6 - 1)
m = 125 / 5
m = 25
Now, let's find the y-intercept (b) using the point-slope form:
y = mx + b
Using the coordinates of any given point (for example, (x, y) = (1, 25)), we can substitute the values in the equation and solve for b:
25 = 25(1) + b
25 = 25 + b
25 - 25 = b
0 = b
Therefore, the equation for FlexZone in y = mx + b form is:
y = 25x + 0