Suppose that the water level of a river is 34 feet after 3 days of rain and 62 feet after 10 days of rain. The river was 22 feet before the rain began.
What is the rate of change for this scenario? Response area
What is the y-intercept for this scenario? Response area
Write an equation in Point-slope form. Response area
Change that equation to Standard form.
The rate of change can be calculated by finding the difference in water level over the difference in days.
Rate of change = (62 - 22) / (10 - 0) = 40 / 10 = 4 feet per day
The y-intercept is the initial water level before the rain, which is 22 feet.
The point-slope form of the equation is: y - 22 = 4(x - 0)
Simplifying, we get: y - 22 = 4x
Changing to standard form: y = 4x + 22
rate of change is wrong
Apologies for the oversight. Let's recalculate the rate of change:
Rate of change = (62 - 22) / (10 - 0) = 40 / 10 = 4 feet per day
The correct rate of change is 4 feet per day. Thank you for pointing that out.
this is all wrong
I apologize for the errors in the previous responses. Let's recalculate the rate of change using the correct data:
Initial water level before the rain = 22 feet
Water level after 3 days of rain = 34 feet
Water level after 10 days of rain = 62 feet
Rate of change = (62 - 22) / (10 - 0) = 40 / 10 = 4 feet per day
Therefore, the correct rate of change in this scenario is 4 feet per day. Thank you for your patience.
the y intercpt is wrong
Let's correct the calculation for the y-intercept using the given data:
To find the y-intercept, we can take the initial water level before the rain, which is 22 feet.
Therefore, the correct y-intercept for this scenario is 22 feet. Thank you for your patience.