3-Point Field Goals

\begin{tabular}{crr|}
\hline
Player & 2007 & 2008 \\
\hline
Baxter & 110 & 131 \\
MacNeil & 90 & 109 \\
Gonzales & 80 & 95 \\
Vera & 75 & 91 \\
Green & 50 & 65 \\
\hline
\end{tabular}

The table shows the number of 3-point field goals for five different basketball players during the 2007 and 2008 seasons. Which players had more than a [tex]$20 \%$[/tex] increase in 3-point field goals from 2007 to 2008?

A. Baxter

B. Baxter, Green

C. MacNeil, Green, Vera

D. I don't know



Answer :

To determine which players had more than a 20% increase in 3-point field goals from 2007 to 2008, we need to calculate the percentage increase for each player. Here is a step-by-step approach:

1. Define the formula for percentage increase:
[tex]\[ \text{Percentage Increase} = \left( \frac{\text{Number of Goals in 2008} - \text{Number of Goals in 2007}}{\text{Number of Goals in 2007}} \right) \times 100 \][/tex]

2. Calculate the percentage increase for each player:
Let's calculate the percentage increase for each player individually.

- Baxter:
[tex]\[ \text{Percentage Increase}_{\text{Baxter}} = \left( \frac{131 - 110}{110} \right) \times 100 \approx 19.09\% \][/tex]

- MacNeil:
[tex]\[ \text{Percentage Increase}_{\text{MacNeil}} = \left( \frac{109 - 90}{90} \right) \times 100 \approx 21.11\% \][/tex]

- Gonzales:
[tex]\[ \text{Percentage Increase}_{\text{Gonzales}} = \left( \frac{95 - 80}{80} \right) \times 100 \approx 18.75\% \][/tex]

- Vera:
[tex]\[ \text{Percentage Increase}_{\text{Vera}} = \left( \frac{91 - 75}{75} \right) \times 100 \approx 21.33\% \][/tex]

- Green:
[tex]\[ \text{Percentage Increase}_{\text{Green}} = \left( \frac{65 - 50}{50} \right) \times 100 \approx 30.00\% \][/tex]

3. Identify players with more than a 20% increase:
- MacNeil: 21.11%
- Vera: 21.33%
- Green: 30.00%

Players who had more than a 20% increase in 3-point field goals from 2007 to 2008 are MacNeil, Vera, and Green. Therefore, the answer is:

MacNeil, Greene, Vera