Question

park manager surveys a random sample of visitors whether they prefer to purchase single day tickets or season passes.

• of the visitors surveyed, 35 prefer purchasing single day tickets, and the rest prefer season passes.
• the amusement park has approximately 9,000 visitors each day.

based on the results of the amusement park manager’s survey, about how many visitors to the amusement park each day prefer to purchase a season pass?
a 25 visitors
b 41 visitors
c 2,100 visitors
d 3,750 visitors

Explanation:

Step1: Find the proportion of season pass preferrers in the sample.

The total number of visitors surveyed is \( 35 + 25 = 60 \) (assuming the 25 is the number of season pass preferrers from the options' context, since 35 prefer single - day tickets). The proportion of season pass preferrers is \( \frac{25}{60}=\frac{5}{12} \).

Step2: Apply the proportion to the daily visitor count.

The amusement park has approximately 9,000 visitors each day. To find the number of visitors who prefer season passes, we multiply the total daily visitors by the proportion: \( 9000\times\frac{5}{12}= 9000\div12\times5 = 750\times5 = 3750 \).

Answer:

D. 3,750 visitors