A) Rate: 5 lawns per day
B) Slope: 5 lawns per day
Step-by-step explanation:
A)
For this graph, we want to find the following ration:

where
- change in lawns moved is the change in the variable along the y-axis, since the lawns moved is represented on the y-axis
- change in time is the change in the variable along the x-axis, since time is represented along the x-axis
By taking the last point in the graph (6,30) and the point (0,0), to have the most accurate measurement, we have:
t = 6 days
lawns moved = 30
Therefore, the rate is
lawns per day
B)
Here in graph B, similarly we want to find the slope of the curve, which is given by

where
is the change in the y-variable
is the change in the x-variable
Taking the last point in the graph (6,30) and the point (0,0), in order to get the most accurate measurement, we have:


Therefore the slope is
lawns per day
Learn more about slope of a graph:
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