Question

Use the table to answer the question.

The number of survey respondents who said they prefer football or baseball in the summer and winter is shown in the table.
Baseball Football Totals
Summer 45 15 60
Winter 20 45
Totals 65 40 105
The table indicates preferences in sports and seasons. How would you construct the rest of the two-way table to determine the number of survey participants who prefer winter and football?

(1 point)
The number of survey respondents who said they prefer football or baseball in the summer and winter is shown in the table.
Baseball Football Totals
Summer 45 15 60
Winter 20
45
Totals 65 40 105

Answer 1

To complete the two-way table, we need to determine how many respondents prefer football in the winter. We already have some of the totals provided in the table.

1. The total number of respondents who prefer baseball in the winter is already given as 20.
2. The total number of respondents who prefer football in winter needs to be filled out.

We know that the total number of respondents for winter is 45. This total comes from the sum of respondents who prefer baseball and football in winter.

So we can formulate the equation:

\[
\text{Baseball (Winter)} + \text{Football (Winter)} = \text{Total (Winter)}
\]
\[
20 + \text{Football (Winter)} = 45
\]

To find the number of respondents who prefer football in the winter, we subtract the number of baseball respondents:

\[
\text{Football (Winter)} = 45 - 20 = 25
\]

Now, we can fill in the table as follows:

```
Baseball Football Totals
Summer 45 15 60
Winter 20 25 45
Totals 65 40 105
```

Thus, the number of survey respondents who prefer football in the winter is **25**.