Question

Suppose that the water level of a river is 45 feet after three days of no rain in 10 feet after 10 days and no rain the river with 60 feet before the job again right in equation for the scenario in slope intercept form

Answer 1

To write the equation in slope-intercept form (y = mx + b), we need to determine the values of m (slope) and b (y-intercept).

Given:
After 3 days of no rain:
Water level = 45 feet

After 10 days of no rain:
Water level = 10 feet

Before the river fills again:
Water level = 60 feet

We can consider the number of days as the x-values and the water level as the y-values.

Using the slope formula, we can determine the slope (m):
m = (change in y) / (change in x)

change in y = 45 - 10 = 35
change in x = 3 - 10 = -7

m = 35 / (-7) = -5

Now, let's consider the point (10, 60) to find the y-intercept (b).

y = mx + b
60 = -5(10) + b
60 = -50 + b
b = 60 + 50
b = 110

Therefore, the equation in slope-intercept form is:
y = -5x + 110