Answer:
We know that Cyrus runs at a constant speed, then we can model this with a linear relationship.
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
In the graph, we can see two points, and those are:
(0, 0) and (1, 200)
Then the slope of this line will be:
a = (200 - 0)/(1 - 0) = 200
y = 200*x + b
And to find the value of b, we just can replace the values of one of the points in the equation (for example, i will use the point (0,0) ) and get:
0 = 200*0 + b
0 = b
Then the equation is:
y = 200*x
Now we can answer the questions:
What points does he plot to show how far he runs in 8 minutes?
Here we must replace x by 8 in the equation:
y = 200*8 = 1600
Then this point will be (8, 1600)
What points does he plot to show how far he runs in 12 minutes?
Here we must replace x by 12 in the equation:
y = 200*12 = 2400
Then this point will be (12, 2400)
