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(slope) for this scenario
To find the rate of change (slope) for this scenario, we need to determine the change in water level and the corresponding change in time.
The change in water level is given by: 62 feet - 34 feet = 28 feet.
The change in time is given by: 10 days - 3 days = 7 days.
So, the rate of change (slope) for this scenario is: 28 feet / 7 days = 4 feet/day.
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 y intercept form of this scenario
To find the y-intercept form of this scenario, we need to determine the y-intercept, which is the value of y when x (time) is equal to 0.
The y-intercept represents the initial water level before the rain began, which is given as 22 feet.
The y-intercept form of the scenario is given by the equation: y = mx + c, where m is the slope and c is the y-intercept.
So, the y-intercept form of this scenario is: y = 4x + 22.
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 y intercept form this scenario
Apologies for the confusion in my previous response. The y-intercept form (standard form) of a linear equation is given by:
y = mx + b
where y is the dependent variable (water level), x is the independent variable (time), m is the slope, and b is the y-intercept.
In this scenario, the y-intercept or the initial water level before the rain began is given as 22 feet. Since the slope has not been provided, we cannot determine the y-intercept form of this scenario without knowing the equation for the line.
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 slope itercept form AND equation in standerd form of this scenario
To find the slope-intercept form of this scenario, we need to determine the slope (m) and the y-intercept (b).
We have the following information:
Water level after 3 days of rain (x = 3): y = 34 feet
Water level after 10 days of rain (x = 10): y = 62 feet
Using the slope formula (m = Δy/Δx) to find the slope:
m = (62 - 34) / (10 - 3)
m = 28 / 7
m = 4
Now we can use the point-slope form (y - y1 = m(x - x1)) to find the equation:
Using the point (3, 34):
y - 34 = 4(x - 3)
y - 34 = 4x - 12
y = 4x + 22
So, the slope-intercept form of the scenario is y = 4x + 22.
To convert the slope-intercept form to standard form, we move all terms to one side of the equation:
-4x + y = 22
what is the y intercept of y = 4x + 22.
The y-intercept of the equation y = 4x + 22 is the value of y when x = 0.
To find the y-intercept, substitute x = 0 into the equation:
y = 4(0) + 22
y = 22
Therefore, the y-intercept is 22.