3. In a basketball game, Glenn scored \( 25 \% \) more points than Ry, If \( g \) is the number of roints that Qlenn scored and \( r \) is the number of points that FJ seored, whioh equatione re correct? Select all that apply. A) \( g=r+25 \) B) \( g=r+.25 r \) C) \( g=r+.25 \) () \( g=1.25 r \) () \( g=(1+.25) r \)

To determine which equations correctly represent the relationship where **Glenn scored 25% more points than Ry**, let's analyze each option step by step. ### Given: - Let \( g \) = points scored by Glenn - Let \( r \) = points scored by Ry ### Interpretation: "Glenn scored 25% more points than Ry" translates to: \[ g = r + 25\% \text{ of } r \] \[ g = r + 0.25r \] \[ g = 1.25r \] \[ g = (1 + 0.25)r \] ### Evaluating Each Option: **A) \( g = r + 25 \)** - **Interpretation:** Glenn scored **25 more points** than Ry. - **Analysis:** This implies a fixed increase of 25 points, not a percentage increase. - **Conclusion:** **Incorrect** **B) \( g = r + 0.25r \)** - **Interpretation:** Glenn scored **\( r \) plus 25% of \( r \)**. - **Analysis:** This accurately represents a 25% increase. - **Conclusion:** **Correct** **C) \( g = r + 0.25 \)** - **Interpretation:** Glenn scored **\( r \) plus 0.25 points**. - **Analysis:** This implies a fixed increase of 0.25 points, not a percentage. - **Conclusion:** **Incorrect** **D) \( g = 1.25r \)** - **Interpretation:** Glenn scored **1.25 times what Ry scored**. - **Analysis:** Multiplying by 1.25 correctly represents a 25% increase. - **Conclusion:** **Correct** **E) \( g = (1 + 0.25)r \)** - **Interpretation:** Glenn scored **\( 1 + 0.25 \) times \( r \)**. - **Analysis:** Simplifies to \( g = 1.25r \), which is correct. - **Conclusion:** **Correct** ### **Correct Equations:** - **B) \( g = r + 0.25r \)** - **D) \( g = 1.25r \)** - **E) \( g = (1 + 0.25)r \)** These three equations accurately represent that Glenn scored 25% more points than Ry.