Answer:
Slope intercept form: The straight line equation is given by:
, .....[1] where m is the slope of the line.
(A)
Let x represents the number of hours and y represents the velocity of the runner.
As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
we have two points as (1, 5) and (3, 3)
Calculate first slope.
Formula for slope(m) is given by;
Then substitute the given values we get;
Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;
Using distributive property:
Add both sides by 5 we get;
or
Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,
(B)
x y = 6 -x
1 5
2 4
3 3
4 2
5 1
Now, plot these points on the graph for the first 5 hours as shown below in the attachment.
Slope intercept form: The straight line equation is given by:
, .....[1] where m is the slope of the line.
(A)
Let x represents the number of hours and y represents the velocity of the runner.
As per the statement: After one hour, the velocity of the runner is 5 km/h. After three hours, the velocity of the runner is 3 km/h.
we have two points as (1, 5) and (3, 3)
Calculate first slope.
Formula for slope(m) is given by;
Then substitute the given values we get;
Now, substitute the value of m = -1 and (1, 5) in equation [1] we have;
Using distributive property:
Add both sides by 5 we get;
or
Therefore, an equation in two variables in the standard form that can be used to describe the velocity of the cyclist at different times is,
(B)
x y = 6 -x
1 5
2 4
3 3
4 2
5 1
Now, plot these points on the graph for the first 5 hours as shown below in the attachment.
Step-by-step explanation:
