Suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. The river was 60 feet before the drought began. Write an equation for the scenario in slope-intercept form.

Answer 1

Let the number of days be represented by x.

We can find the slope of the line using the formula:
slope = (change in y) / (change in x)

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

So, the slope is:
slope = (-35) / 7 = -5

Using the point-slope form of an equation, where (x1, y1) = (3, 45):

y - y1 = m(x - x1)
y - 45 = -5(x - 3)

Now, let's simplify the equation:

y - 45 = -5x + 15
y = -5x + 60