Question

Set up the following word problem as a proportion and solve. You must show your work to receive full credit. In a random sample of 400 cars of a particular model, 5 have a manufacturing defect. At this rate, how many of 10,000 cars of the same model will have a manufacturing defect? please label your answer.

Answer 1

In a sample size of 10,000 cars from said manufacturer, we can expect 125 of these vehicles to have a defect.

Explanation:

Let's call our random sample of 400 as a total. If 5 of these has a defect, then we can assume that

5/400 cars from the manufacturer will have a defect

Applying this proportion to a sample size of 10,000 cars, we can equate our known proportion, 5/400 to x/10,000

5/400 = x/10,000 Multiply both sides by 10,000

50,000/400 = x Reduce to solve for x

125 = x

Therefore, in a sample size of 10,000 cars from said manufacturer, we can expect 125 of these vehicles to have a defect.