Question

Suppose that the water level of a river is 45 feet after three days of no rain in 10 feet after 10 days of no rain the river with 60 feet before the drop again what is the y-intercept for this scenario

Answer 1

To determine the y-intercept, we need an equation that relates the water level of the river to the number of days with no rain. Let's use a linear equation of the form y = mx + b, where y represents the water level and x represents the number of days with no rain.

From the given information, we have two points: (3, 45) and (10, 10). Substituting these points into the equation, we can find the slope (m) and the y-intercept (b).

First, let's find the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

m = (10 - 45) / (10 - 3)
m = -35 / 7
m = -5

Now that we have the slope (m), we can substitute one of the points and the slope into the linear equation to find the y-intercept (b).

Using point (3, 45):
45 = -5(3) + b
45 = -15 + b
b = 45 + 15
b = 60

Therefore, the y-intercept for this scenario is 60.