Respuesta :
The slope is 74
For every one unit increase in number of parts, total cost increases by 74 of a unit
Solution:
Given that,
Last month a manufacturing company produced 500 auto parts that cost the company a total of $42200
This month the company produced 940 auto parts accumulating a total of $74760 in cost
This gives us two points
(500, 42200) and (940, 74760)
COMPUTE THE SLOPE:
The slope is given as:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From above two points,
[tex](x_1, y_1} = (500, 42200)\\\\(x_2, y_2) = (940, 74760)[/tex]
Therefore, slope is given as:
[tex]m = \frac{74760-42200}{940-500}\\\\m = \frac{32560}{440}\\\\m = 74[/tex]
Thus slope is 74 dollars/part average
Given that,
The cost of each part depends on the fluctuating oil prices on the stock market
Slope obtained is positive
Which means, for every one unit increase in number of parts, total cost increases by 74 of a unit
The equation can be written as:
y = 74x + b
Where, 74 is the slope and y is total cost and b is y intercept and "x" is the number of parts
Therefore, total cost for company depend on the auto parts, which means, more the auto parts bought, more is the total cost
