Question

In a random sample of 200 cars of a particular model, 3 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect?

*SHOW WORK*

Answer 1

It is a proportion. 200 over 3 equals 10,000 over x. From the 200 side. multiply everything by 50 (200x50=10,000) and you get 150 cars that are defective.

Answer 2

There will be 150 defective cars among the set of 10,000 cars

Explanation:

For every 200 cars 3 are defective

Let X numbers of car be defective out of 10000 cars

There is a proportional relationship between the two

Thus,

`(3)/(200) = (X)/(10,000) \\X = ((10,000)(3))/((200)) = 50 * 3\\= 150`