The Beeville city council surveyed 500 Beville 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
B. 25,550
To find the most likely number of Beeville citizens who would name summer as their favorite season, we can set up a proportion:
350/500 = x/36500
Simplifying the left side:
350/500 = 7/10
Now we have:
7/10 = x/36500
To solve for x, we can cross-multiply:
10x = 7 * 36500
10x = 255500
x = 25550
Therefore, the most likely number of Beeville citizens who would name summer as their favorite season is 25,550.
To determine how many of the 36,500 Beeville citizens would most likely name summer as their favorite season based on the survey results, we can set up a proportion.
Let x be the number of Beeville citizens who would most likely name summer as their favorite season.
We have the following proportion:
350/500 = x/36,500
Now, we can solve for x by cross-multiplying:
500x = 350 * 36,500
500x = 12,775,000
Divide both sides by 500 to solve for x:
x = 12,775,000 / 500
x = 25,550
Therefore, the correct answer is B. 25,550.
To answer this question, we first need to calculate the ratio of the number of citizens who named summer as their favorite season in the survey to the total number of citizens surveyed.
The ratio is calculated as follows:
Ratio = Number of citizens who named summer as their favorite season in the survey / Total number of citizens surveyed
In this case, the number of citizens who named summer as their favorite season in the survey is 350, and the total number of citizens surveyed is 500. Hence, the ratio is:
Ratio = 350 / 500 = 0.7
Next, we need to use this ratio to estimate the number of Beeville citizens who would most likely name summer as their favorite season out of the total population of 36,500.
Estimated number of citizens = Total population of Beeville * Ratio
Estimated number of citizens = 36,500 * 0.7 = 25,550
Therefore, the most likely number of Beeville citizens who would name summer as their favorite season is 25,550.
Thus, the correct answer is B. 25,550.