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Answer :
Sure! Let's solve the problem step-by-step.
Keely and Grayson played a board game. We know that Keely scored 128 points, which was 4 times as many points as Grayson scored. We need to determine which equation represents this situation.
1. Identify the relationship:
- Keely scored 128 points.
- This score is 4 times Grayson's score. Let's use [tex]\( g \)[/tex] to represent the number of points Grayson scored.
2. Translate the relationship into an equation:
- Since Keely's score is 4 times Grayson's score, we can express this relationship as:
[tex]\[
4 \times g = 128
\][/tex]
- This equation indicates that multiplying Grayson's points by 4 gives Keely's score.
3. Choose the correct equation from the options provided:
- Option A: [tex]\( g + 4 = 128 \)[/tex] (This implies Grayson's score plus 4, which isn't correct.)
- Option B: [tex]\( \frac{9}{4} = 128 \)[/tex] (This doesn't relate to Grayson's score at all.)
- Option C: [tex]\( g - 4 = 128 \)[/tex] (This implies Grayson's score minus 4, which isn't correct.)
- Option D: [tex]\( 4g = 128 \)[/tex] (This correctly represents Keely's score as 4 times Grayson's score.)
Therefore, the correct answer is Option D: [tex]\( 4g = 128 \)[/tex].
Keely and Grayson played a board game. We know that Keely scored 128 points, which was 4 times as many points as Grayson scored. We need to determine which equation represents this situation.
1. Identify the relationship:
- Keely scored 128 points.
- This score is 4 times Grayson's score. Let's use [tex]\( g \)[/tex] to represent the number of points Grayson scored.
2. Translate the relationship into an equation:
- Since Keely's score is 4 times Grayson's score, we can express this relationship as:
[tex]\[
4 \times g = 128
\][/tex]
- This equation indicates that multiplying Grayson's points by 4 gives Keely's score.
3. Choose the correct equation from the options provided:
- Option A: [tex]\( g + 4 = 128 \)[/tex] (This implies Grayson's score plus 4, which isn't correct.)
- Option B: [tex]\( \frac{9}{4} = 128 \)[/tex] (This doesn't relate to Grayson's score at all.)
- Option C: [tex]\( g - 4 = 128 \)[/tex] (This implies Grayson's score minus 4, which isn't correct.)
- Option D: [tex]\( 4g = 128 \)[/tex] (This correctly represents Keely's score as 4 times Grayson's score.)
Therefore, the correct answer is Option D: [tex]\( 4g = 128 \)[/tex].
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