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Posted 3 months ago

Getaway Travel Agency surveyed a random sample of 45 of their clients about their vacation plans. Of the clients surveyed, 21 expected that they would go on 3 vacations in the next year. There are 516 Getaway Travel Agency clients.

Based on the data, what is the most reasonable estimate for the number of Getaway Travel Agency clients who expect to go on 3 vacations in the next year?
Choose 1 answer:
(A) 45
(B) 241
(C) 275
(D) 467
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Answer from Sia
Posted 3 months ago
Solution by Steps
step 2
The proportion from the survey is 2145\frac{21}{45}
step 3
We apply this proportion to the total number of clients, which is 516
step 4
The calculation is 2145×516\frac{21}{45} \times 516
step 5
Simplifying the calculation gives us 2145×516=12045=240.8\frac{21}{45} \times 516 = \frac{1204}{5} = 240.8
step 6
The most reasonable estimate is the whole number closest to 240.8, which is 241
Key Concept
Proportional Estimation
To estimate the number of clients planning to take 3 vacations, we use the proportion of such clients in the survey sample and apply it to the total client population.

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