Question

which sports team improved the most? explain your reasoning.
a table of game points for three sports teams
you can start your response with:

• the ____ team improved the most because...

press the record button under \start audio recording.\ say your answer. press the pause button and save your recording. listen to your recording. if you need to make changes, delete it, and record your response again.
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Explanation:

Step1: Calculate the increase for each team

• Football team: $30 - 22 = 8$
• Basketball team: $108 - 100 = 8$
• Baseball team: $12 - 4 = 8$ Wait, no, we should calculate the percentage increase or the relative increase. Let's do percentage increase.

Step2: Calculate percentage increase for each team

• Football team: $\frac{30 - 22}{22} \times 100\%=\frac{8}{22}\times 100\%\approx 36.36\%$
• Basketball team: $\frac{108 - 100}{100}\times 100\%=\frac{8}{100}\times 100\% = 8\%$
• Baseball team: $\frac{12 - 4}{4}\times 100\%=\frac{8}{4}\times 100\% = 200\%$

To determine which team improved the most, we calculate the percentage increase in points for each team. The percentage increase formula is $\frac{\text{New Value}-\text{Old Value}}{\text{Old Value}}\times 100\%$. For the football team, the increase is $\frac{30 - 22}{22}\times 100\%\approx 36.36\%$. For the basketball team, it is $\frac{108 - 100}{100}\times 100\% = 8\%$. For the baseball team, it is $\frac{12 - 4}{4}\times 100\% = 200\%$. Since $200\%$ is the highest percentage increase, the baseball team improved the most.

Answer:

The baseball team improved the most because when calculating the percentage increase in points (using the formula $\frac{\text{Total points in game 2}-\text{Total points in game 1}}{\text{Total points in game 1}}\times 100\%$), the baseball team had a $200\%$ increase, which is higher than the approximately $36.36\%$ increase of the football team and the $8\%$ increase of the basketball team.