Question

The radio station wants to tell their listeners the weather for the next 10 days. Out of those 10 days, it will rain on 2 of them. The manager of the station said that the ratio of rainy days to sunny days was 1:4 . Is the manager correct? Explain.(1 point) Responses no, because the correct ratio of rainy days to sunny days is 2:10 no, because the correct ratio of rainy days to sunny days is ratio of 2 to 10 no, because the ratio of rainy days to sunny days is 2:8 and 1:4 is not equivalent to 2:8 no, because the ratio of rainy days to sunny days is ratio of 2 to 8 and ratio of 1 to 4 is not equivalent to ratio of 2 to 8 yes, because out of 4 days it will only rain once yes, because out of 4 days it will only rain once yes, because the ratio of rainy days to sunny days is 2:8 and 1:4 is an equivalent ratio

Answer 1

The correct response is: **no, because the ratio of rainy days to sunny days is 2:8 and 1:4 is not equivalent to 2:8.**

Here's the explanation:

Out of the 10 days, if it rains for 2 days, there are 8 sunny days (10 days - 2 rainy days = 8 sunny days). Therefore, the ratio of rainy days to sunny days is 2:8, which simplifies to 1:4.

The manager's statement that the ratio of rainy days to sunny days is 1:4 is indeed correct, but the concern raised in the answer choice is incorrect because the simplified ratio 1:4 does match the ratio of rainy days to sunny days, which is 2:8.

Therefore, while the manager's ratio is correct, the phrasing of the remaining options suggests a misunderstanding of the equivalence of the ratios. The critical aspect here is that the ratios are equivalent, so a more accurate phrasing would affirm the manager's statement as correct.