Answer:
<u>For the graph in the top-left corner, the ?? = 0.25</u>
This can be found using a simple slope equation:
m = (y2-y1)/(x2-x1)
m = slope
You take two coordinates, in this case (8, 2) and (4, 1), label one as #1 and the other as #2, and plug in the values so:
slope = (2-1)/(8-4)
slope = 1/4 or 0.25
The equation of a line is y = mx + b and if you were to place 0.25, or 1/4, in place of m (the slope) and 1 in the place of x since it is the x value, and multiply, you would end up with 0.25.
This also gives you the answer to your next two questions.
<u>The one in the top-right corner is $0.25 per pencil.</u>
<u>The answer to the question just below it is y = 0.25x.</u>
b in the equation would equal 0 since b is the y-intercept (where the line crosses the y-axis)
As for the last one, you simply have to multiply 30 by each number in the left column since you already know 30 miles are travelled in 1 hour, giving you your rate or the equation of the line, y=x.
<u>The missing values of the table are as follows:</u>
<u>0, 60, 150, 240, 330, 1470</u>
Finally, the last box:
<u>Miles = 30 * hours</u>
<u>y = 30x</u>
