The first line in the system of equations is graphed on the coordinate plane. Graph the second line to find the solution to the
1 answer:
Answer:
See attachment.
Step-by-step explanation:
The given system is
The first line is already graphed.
We want to graph
We can do this by plotting two points and drawing a straight line through them.
When we choose x=0, we substitute into the equation and solve for y.
So we plot (0,-4)
Also, when y=0, we substitute and solve for x.
So we plot the point (-4,0)
We now use a straight edge to draw a straight line through these two points to obtain the graph shown in the attachment.
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Answer:
<em>The value 60 represents the speed of the vehicle the counselor is driving.</em>
Step-by-step explanation:
<u>Linear Function</u>
The linear relationship between two variables d and t can be written in the form
Where m is the slope (or rate of change of d with respect to t) and b is the y-intercept or the point where the graph of the line crosses the y-axis
The function provided in our problem is
Where d is the distance in miles the counselor still needs to drive after t hours. Rearranging the expression:
Comparing with the general form of the line we can say m=-60, b=130. The value of -60 is the slope or the rate of change of d with respect to t. Since we are dealing with d as a function of time, that value represents the speed of the vehicle the counselor is driving. It's negative because the distance left to drive decreases as the time increases