Answer:
9.5 inches per month
Step-by-step explanation:
Given the information about the depth of the pond:
Month 1: 93 in
Month 2: 98 in
Month 3: 112 in
From month 1 to month 3, the average rate of change of the depth of the pond, in inches per month can be calculated using formula
Hence, from month 1 to month 3, what is the average rate of change of the depth of the pond, in inches per month is
Slope intercept form: y = mx + b
mx = slope
b = y-intercept
We know the y intercept is 0, so nothing will be written there.
To find the slope of this line, we can use the slope formula.
We'll use the points (1, 0) and (3, 1) to find the slope.
Now we can just plug these values into the equation to find the slope.
1 - 0 / 3 - 1
1 / 2
The slope of the line is 1/2, or 0.5.
The slope-intercept form of this line can be written as:
y = 0.5x