Answer:
Demand: q = -50p + 1200
Supply: q = 40p
Step-by-step explanation:
First let's define our variables.
q = quantity of T-shirts
p = price
We know that when p = 12, q = 600. When p increases by 1, q decreases by 50. So this is a line with slope -50 that passes through the point (12, 600). Using point-slope form to write the equation:
q - 600 = -50 (p - 12)
Converting to slope-intercept form:
q - 600 = -50p + 600
q = -50p + 1200
Similarly, we know that when p = 9.75, q = 600 - 210 = 390. When p increases by 1, q increases by 40. So this is a line with slope 40 that passes through the point (9.75, 390). Using point-slope form to write the equation:
q - 390 = 40 (p - 9.75)
Converting to slope-intercept form:
q - 390 = 40p - 390
q = 40p
The other endpoint is (1, -17).
The midpoint formula is:

Using our midpoint and endpoint, we have:

For the first equation (to find the x-coordinate) we will multiply both sides by 2:

Subtract 11 from both sides:
12 - 11 = 11+x₂ - 11
1 = x₂
For the second equation (the y-coordinate) we multiply both sides by 2:

Add 5 to both sides:
-22+5 = -5+y₂ + 5
-17 = y₂
This means that (x₂, y₂) is at (1, -17).
Answer:
I believe it would be B.
Step-by-step explanation:
Range: area of variation with real numbers
Also, seeing the quadrant it is in means there are negative numbers. This takes out the possibility of option A.
Look at points (0, -1) and (1, 5).
m = (y2 - y1)/(x2 - x1) = (5 - (-1))/(1 - 0) = 6/1 = 6
Slope = 6
Answer: 6