Question

Last year the SF won 77 games and they played 162 games. Due to [some factor], the SF Giants will only play 60 games this year. If they have about the same success this year as last year, how many wins would you expect them to have this year? (Round to the nearest whole number.)

Answer 1

Given that the SF Giants won 77 games out of 162 last year with only 60 games to play this year we can expect them to win approximately 28 games this year.

Step-by-step explanation:

To find the expected number of wins this year we can set up a proportion using the ratio of wins to total games played last year and then apply it to the reduced number of games this year. The proportion can be expressed as.

`\[ \frac{\text{Wins Last Year}}{\text{Games Played Last Year}} = \frac{\text{Expected Wins This Year}}{\text{Games To Be Played This Year}} \]`

Plugging in the values we get

`\[ (77)/(162) = (x)/(60) \]`

Solving for
`\(x\)` which represents the expected wins this year gives us approximately 28.

This calculation assumes a similar success rate as last year. Proportional reasoning in sports predictions can be a useful tool for estimating outcomes based on historical performance.

Understanding how to apply ratios in such scenarios helps in making reasonable predictions although various factors can influence actual results.

Answer 2

If the SF Giants maintain a similar level of success as last year, with a win ratio of 77 wins out of 162 games, they could be expected to achieve around 29 wins this year, given the reduced number of games to 60. This calculation assumes their performance remains consistent.

Step-by-step explanation:

To find out how many wins the SF Giants might have this year given their past success, you can calculate the win ratio from last year and apply it to the reduced number of games this year.

The win ratio is calculated as:

`\[ \text{Win Ratio} = \frac{\text{Number of Wins}}{\text{Total Number of Games}} \]`

For last year:

`\[ \text{Win Ratio}_{\text{last year}} = (77)/(162) \]`

Now, apply this win ratio to the reduced number of games this year (60 games):

`\[ \text{Expected Wins}_{\text{this year}} = \text{Win Ratio}_{\text{last year}} * \text{Number of Games}_{\text{this year}} \]`

Let's calculate it:

`\[ \text{Expected Wins}_{\text{this year}} = (77)/(162) * 60 \]`

Now, compute this value:

`\[ \text{Expected Wins}_{\text{this year}} \approx (77)/(162) * 60 \approx 28.57 \]`

Rounding to the nearest whole number:

`\[ \text{Expected Wins}_{\text{this year}} \approx 29 \]`

So, based on a similar level of success as last year, you might expect the SF Giants to have around 29 wins this year.