the total cost of manufacturing 100 cameras per week is 700 $ and 120 cameras per week is 800 $ ,the the cost equation ,assuming it to be linear is
You have two points on the graph of y(x):
(100,700) and (120,800)
The slope is 100/20 = 5
(y-700)/(x-100) = 5
y = 5(x-100) + 700
y = 5x +200
I don`t have any response about that
To find the cost equation, we need to determine the slope and y-intercept of the linear equation.
Let's first find the slope (m) using the given data points. We have two points: (100, 700) and (120, 800).
The formula for the slope (m) is:
m = (y2 - y1) / (x2 - x1)
Using the above formula, we substitute the coordinates (x1, y1) = (100, 700) and (x2, y2) = (120, 800):
m = (800 - 700) / (120 - 100)
m = 100 / 20
m = 5
Now that we have the slope (m), we can find the y-intercept (b) using one of the given data points. Let's use (100, 700):
y = mx + b
700 = 5 * 100 + b
700 = 500 + b
b = 700 - 500
b = 200
Therefore, the cost equation, assuming it to be linear, is:
Cost = 5 * Number of cameras + 200
This equation represents the cost (in $) as a function of the number of cameras produced per week.