The Beeville City Council surveyed 500 Beeville citizens. Of those surveyed, 350 citizens named summer as their favorite season. Based on the survey results, how many of the 36,500 Beeville citizens would most likely name summer as their favorite season?
A. 27,000
B. 25,550
C. 18,000
D. 10,950
We can set up a proportion:
350/500 = x/36,500
Simplifying:
7/10 = x/36,500
Cross-multiplying:
10x = 255,500
Dividing by 10:
x = 25,550
Therefore, the answer is option B: 25,550 of the 36,500 Beeville citizens would most likely name summer as their favorite season.
To find out how many of the 36,500 Beeville citizens would most likely name summer as their favorite season, we can set up a proportion using the given information.
We know that 350 out of 500 surveyed citizens named summer as their favorite season. So, the proportion is:
350/500 = x/36,500
To solve for x, we cross-multiply:
500x = 350 * 36,500
500x = 12,775,000
Dividing both sides by 500:
x = 12,775,000 / 500
x = 25,550
Therefore, the most likely number of Beeville citizens who would name summer as their favorite season is 25,550.
Therefore, the answer is B. 25,550.
To find the number of Beeville citizens who would most likely name summer as their favorite season, we can use the ratio of respondents who named summer to the total number of respondents in the survey.
The ratio is: 350 respondents named summer / 500 total respondents.
To find the number of Beeville citizens who would most likely name summer as their favorite season, we can set up a proportion:
350 respondents named summer / 500 total respondents = X citizens named summer / 36,500 total citizens
Now we can solve for X, the number of citizens who would most likely name summer as their favorite season:
X = (350 respondents named summer / 500 total respondents) * 36,500 total citizens
X = (0.7) * 36,500
X = 25,550
Therefore, B. 25,550 is the most likely number of Beeville citizens who would name summer as their favorite season.