Question

Use the two graphs to help complete the statements below

Answer 1

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:

$rate=\frac{change in lawns moved}{change in time}$

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

$rate=\frac{30}{6}=5$ lawns per day

B)

Here in graph B, similarly we want to find the slope of the curve, which is given by

$slope=\frac{\Delta y}{\Delta x}$

where

$\Delta y$ is the change in the y-variable

$\Delta x$ 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:

$\Delta y = 30 - 0 = 30$

$\Delta x = 6-0=6$

Therefore the slope is

$slope=\frac{30}{6}=5$ lawns per day

Learn more about slope of a graph:

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Answer 2

Answer:

Graph A- 5

Graph B- 5

Step-by-step explanation: