The Wilson Manufacturing Company uses a machine to stamp out parts for lawn mowers. On average, the machine will produce 7 defective parts for each 1,000 made. Using a direct variation formula, determine the number of defective parts that would be expected if the machine produced 7,000 parts.

Knowing that Wilson Manufacturing company stamp out an average of 7 defective parts out of 1000 pieces, by using direct variation in answering the question, the answer will be 49 defective parts. variables in which one is a constant multiple of the other. for the equation it should be 7pcs per 1000 multiply by 7 due for the total of 7000. your answer is 49pcs.

Answer Link

JeanaShupp JeanaShupp · Answer 2 · 2019-07-20T06:17:40+02:00

Answer: 49

Step-by-step explanation:

The direct variation formula for two quantities x and y is given by :-

[tex]y=kx[/tex], where k is constant.

Let x be the number of parts produced by machine and y be the number of defective parts produced .

For x = 1,000 and y=7 , we have

[tex]7=k(1000)\\\\\Rightarrow\ k=\dfrac{7}{1000}[/tex]

Now, for x =7 ,000, the value of y will be :-

[tex]y=\dfrac{7}{1000}\times7000=49[/tex]

Hence, the the number of defective parts that would be expected if the machine produced 7,000 parts = 49