Find the constant of proportionality. Rising Flood Water
12
11
10
9
8
7
6
Number of Inches
5
Nw
0
0
1 2 3 4 5 6 7 8 9 10 11 12
Number of Days

Answer as a fraction =  4/3

Answer in decimal form = 1.33 approximately

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.

hi how are you doing today, if you need just ask me.

step-by-step explanation:

thats not a system of equations, that is a solution