Answer:
The constant of variation is $1.50
Step-by-step explanation:
Given
Point 1 (1,2)
Point 2 (5,8)
Required
Constant of Variation
Though the graph would have assisted in answering the question; its unavailability doesn't mean the question cannot be solved.
Having said that,
the constant variation can be solved by calculating the gradient of the graph;
The gradient is often represented by m and is calculated as thus
![m = \frac{y_2 - y_1}{x_2 - x_1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2%20-%20y_1%7D%7Bx_2%20-%20x_1%7D)
Where
![(x_1, y_1) = (1,2)\\(x_2, y_2) = (5,8)](https://tex.z-dn.net/?f=%28x_1%2C%20y_1%29%20%3D%20%281%2C2%29%5C%5C%28x_2%2C%20y_2%29%20%3D%20%285%2C8%29)
By substituting values for x1,x2,y1 and y2; the gradient becomes
![m = \frac{8 - 2}{5 - 1}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B8%20-%202%7D%7B5%20-%201%7D)
![m = \frac{6}{4}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B6%7D%7B4%7D)
![m = \frac{3}{2}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B3%7D%7B2%7D)
![m = 1.50](https://tex.z-dn.net/?f=m%20%3D%201.50)
Hence, the constant of variation is $1.50
B. 0.930 ~Apex ;) .....................................
Answer:
270
Step-by-step explanation:
Jones turns out 200 relays to Smith's 180. You set up that basic ratio and make a proportion out of it.
S/J = 180/200
Now you make your proportion
S/J = x/300
But the 2 ratios much remain the same.
180/200 = x / 300 Multiply both sides by 300
180*300/200 = x Multiply the numerator together.
54000/200 = x Do the division
270 = x
Smith will have turned out 270 relays.
Answer:
(3, 0).
Step-by-step explanation:
dentifying the vertices of the feasible region. Graphing is often a good way to do it, or you can solve the equations pairwise to identify the x- and y-values that are at the limits of the region.
In the attached graph, the solution spaces of the last two constraints are shown in red and blue, and their overlap is shown in purple. Hence the vertices of the feasible region are the vertices of the purple area: (0, 0), (0, 1), (1.5, 1.5), and (3, 0).
The signs of the variables in the contraint function (+ for x, - for y) tell you that to maximize C, you want to make y as small as possible, while making x as large as possible at the same time.
Hence, The Answer is ( 3, 0)