Question

In a popular online role playing game, players can create detailed designs for their character's

"costumes," or appearance. Harper sets up a website where players can buy and sell these
costumes online. Information about the number of people who visited the website and the
number of costumes purchased in a single day is listed below.
206 visitors purchased no costume.
23 visitors purchased exactly one costume.
3 visitors purchased more than one costume.
If next week, she is expecting 400 visitors, about how many would you expect to buy more
than one costume? Round your answer to the nearest whole number.

Answer 1

Approximately 5 visitors are expected to buy more than one costume among 400 visitors next week, based on the proportions observed from 232 visitors in the given data.

Let's analyze the information given:

- 206 visitors purchased no costume.

- 23 visitors purchased exactly one costume.

- 3 visitors purchased more than one costume.

The total number of visitors is the sum of these three categories:
`\(206 + 23 + 3 = 232\).`

Now, if there are 400 visitors expected next week, and the same proportion of visitors purchases more than one costume, you can set up a ratio:

`\[\text{Number of visitors buying more than one costume} : \text{Total number of visitors} = x : 400\]`

Using the ratio
`\(3 : 232\)` (from the given data), you can set up the proportion:

`\[(3)/(232) = (x)/(400)\]`

Cross-multiply to solve for
`\(x\):`

`\[3 * 400 = 232 * x\]`

`\[1200 = 232x\]`

Now, solve for
`\(x\):`

Rounding to the nearest whole number, you would expect about 5 visitors to buy more than one costume.