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:
[tex]rate=\frac{change in lawns moved}{change in time}[/tex]
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
[tex]rate=\frac{30}{6}=5[/tex] lawns per day
B)
Here in graph B, similarly we want to find the slope of the curve, which is given by
[tex]slope=\frac{\Delta y}{\Delta x}[/tex]
where
[tex]\Delta y[/tex] is the change in the y-variable
[tex]\Delta x[/tex] 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:
[tex]\Delta y = 30 - 0 = 30[/tex]
[tex]\Delta x = 6-0=6[/tex]
Therefore the slope is
[tex]slope=\frac{30}{6}=5[/tex] lawns per day
Learn more about slope of a graph:
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