Question

Find the slope from the table: (Hint: Look at the units for your answer choices!)

Answer 1

Since we have a linear relationship between these variables, we can find the slope of these linear relationship using any combination of two points from the table. We can select the points:

x1 = 0, y1 = 50

x2 = 2, y2 = 40

(We can also can get x1 = 0, y1 = 50, and x2 = 4, y2 = 30, and we can get the same result).

The formula for the slope in a linear relationship is as follows:

`m=(y_2-y_1)/(x_2-x_1)`

And then, using the previous values (without using units):

`m=(40-50)/(2-0)\Rightarrow m=(-10)/(2)\Rightarrow m=-5`

Therefore, the slope for this linear relationship is negative (as far as time passes the water level is less and less), and the value for this is m = -5 ft per hr.