Parker volunteers on the weekend at the Central Library. As a school project, he decides to record how many people visit the library, and where they go. On Saturday, 384 people went to The Youth Wing, 389 people went to Social Issues, and 495 went to Fiction and Literature. On Sunday, the library had 1300 total visitors. Based on what Parker had recorded on Saturday, about how many people should be expected to go to Social Issues? Round your answer to the nearest whole number.
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To find out about how many people should be expected to go to Social Issues on Sunday, we need to determine the proportion of people who visited Social Issues on Saturday compared to the total number of visitors.
First, we calculate the total number of visitors on Saturday:
384 (Youth Wing) + 389 (Social Issues) + 495 (Fiction and Literature) = 1268 visitors on Saturday.
Next, we calculate the proportion of visitors in Social Issues on Saturday:
389 (Social Issues) / 1268 (Total visitors on Saturday) = 0.3061 (rounded to four decimal places).
To estimate how many people should be expected to visit Social Issues on Sunday, we multiply the proportion from Saturday by the total number of visitors on Sunday:
0.3061 (Proportion from Saturday) * 1300 (Total visitors on Sunday) = 398.93 (rounded to two decimal places).
Rounding this answer to the nearest whole number, we can estimate that about 399 people should be expected to go to Social Issues on Sunday.
To determine how many people should be expected to go to Social Issues on Sunday, we can use the information from Saturday. On Saturday, 389 people went to Social Issues out of a total of 1268 people (384 + 389 + 495 = 1268).
To find the proportion of visitors going to Social Issues, we divide the number of people who went to Social Issues by the total number of visitors on Saturday:
Proportion = 389 / 1268 ≈ 0.307
Now, we can use this proportion to estimate the number of people expected to go to Social Issues on Sunday. We multiply the total number of visitors on Sunday (1300) by the proportion:
Expected number = Proportion × total number of visitors on Sunday
Expected number = 0.307 × 1300 ≈ 399
Therefore, about 399 people should be expected to go to Social Issues on Sunday. Rounding to the nearest whole number, the estimate is 399.