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 TestNumber of Bulbs Tested142884336Number of Defective Bulbs Found126?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?
Answer
A
The reasoning is correct. The ratio of number of bulbs tested to defective bulbs is always 14 to 1.
B
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.
C
The reasoning is not correct because the technician should have found the difference between 336 and 84, then divided the result by 6.
D
The reasoning is not correct because the first two values in each row is doubled, so the technician should have doubled 6 to get the missing value.
Explanation
The table shows that 14 bulbs tested produce 1 defective bulb, and 28 bulbs produce 2 defective bulbs. The ratio stays 14 tested bulbs for every 1 defective bulb. Since 336 ÷ 14 = 24, the technician expects 24 defective bulbs, so the reasoning is correct. This is the statement in choice A.
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