Question

A technician is testing light bulbs to determine the number of defective bulbs. The technician records the table below to show the results. Result of Light Bulb Test Number of Bulbs Tested 14 28 84 336 Number of Defective Bulbs Found 1 2 6 ? The technician expects to find 24 defective bulbs when 336 are tested. Which statement explains whether the technician’s reasoning is correct, based on the information in the table? The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1. The reasoning is correct. The number of defective bulbs doubles, then triples, so the next number should be four times larger, regardless of the number of bulbs tested. The reasoning is not correct because the technician should have found the difference between 336 and 84, then divided the result by 6.

Answer 1

A. The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.

Explanation:

Answer 2

The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.

Explanation:

We generally expect industrial processes to produce defects at about the same rate, meaning the proportion of defective product is generally considered to be a constant. Here, the proportion of defective bulbs is ...

... 1/14 = 2/28 = 6/84

so we expect it will be also 24/336. That is, the ratio of the number of bulbs tested to defective bulbs is expected to remain constant at about 14.