suppose that the water level is 34 feet after 3 days of rain and 62 feet after 10 days of rain the river was 22 feet beforethe rain began
what is the rate of change?
what is the y interscept
equation in point-slope form
change equation into standered form
To find the rate of change, we need to calculate the change in water level over the given time period.
Change in water level after 3 days: 34 feet - 22 feet = 12 feet
Change in water level after 10 days: 62 feet - 22 feet = 40 feet
Rate of change = (40 feet - 12 feet) / (10 days - 3 days) = 28 feet / 7 days = 4 feet per day
To find the y-intercept, we can use the initial water level before the rain began, which is 22 feet.
The equation in point-slope form can be written as: y - y1 = m(x - x1)
y - 22 = 4(x - 0)
y - 22 = 4x
To convert it into standard form, we need to distribute and simplify:
y - 22 = 4x
y = 4x + 22
So, the equation in standard form is: y = 4x + 22