To find the rate of change (slope), we can use the formula:
Slope = (Change in y) / (Change in x)
In this scenario, the x-axis represents the number of days with no rain, and the y-axis represents the water level of the river.
The change in y (water level) is from 45 feet to 10 feet, which is -35 feet.
The change in x (number of days) is from 3 days to 10 days, which is 7 days.
Slope = (-35 feet) / (7 days) = -5 feet per day
Thus, the rate of change for this scenario is -5 feet per day.
The y-intercept represents the value of y (water level) when x (number of days) is 0.
From the information given, when the drought began, the water level was 60 feet. Hence, the y-intercept is 60 feet.
Therefore, the y-intercept for this scenario is 60 feet.
Now, let's write the equation in slope-intercept form, y = mx + b:
y = -5x + 60
Finally, let's write the equation in standard form, Ax + By = C:
5x + y = 60
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.
what is the rate of change (slope) for this scenario?
what is the y- intercept for this scenario?
write an equation for the scenario in slope interception form.
write an equation in standard form
1 answer