Question

Math

Posted 3 months ago

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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 $\frac{21}{45}$

step 3

We apply this proportion to the total number of clients, which is 516

step 4

The calculation is $\frac{21}{45} \times 516$

step 5

Simplifying the calculation gives us $\frac{21}{45} \times 516 = \frac{1204}{5} = 240.8$

step 6

The most reasonable estimate is the whole number closest to 240.8, which is 241

B

Key Concept

Proportional Estimation

Explanation

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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