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

1 answer

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