Answer as a fraction = 4/3
Answer in decimal form = 1.33 approximately
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Step-by-step explanation:
x = number of days
y = number of inches
For instance, on day x = 3, we have y = 4 inches of flood water. This is shown by the point (x,y) = (3,4) on the diagonal line.
Divide y over x to get the value of k, which is the constant of proportionality.
k = y/x
k = 4/3
k = 1.33 which is approximate
You could also pick a point like (x,y) = (6,8) to find that
k = y/x
k = 8/6
k = 4/3
k = 1.33
Which is the same as earlier.
We can pick any point on the diagonal line as long as it's not the origin point (0,0).
The equation of this direct variation line is y = (4/3)x. It has a slope of 4/3 and a y intercept of 0. The slope of 4/3 means that each time we move up 4 on the y axis, we move to the right 3 units on the x axis.
In short, slope = rise/run = 4/3. So rise = 4 and run = 3.
For any direct variation linear equation, the slope and constant of proportionality are the same thing.