Final answer:
The student had 200 points before they applied the arcade game's scoring rule, where every 9 points actually count as 5 points. The correct answer is not listed in the provided options, suggesting an error in the question or answer choices.
Step-by-step explanation:
The question states that for every 9 points scored in an arcade game, you actually score 5 points. If a student scored 360 points, we need to calculate the original number of points they had before applying this scoring rule. Using a simple proportion, where 9 points actually represent 5 points, we can set up the following ratio: (5/9) = (Actual points/360). By cross-multiplying and solving for the actual points, we find out the number of points the student had before.
Let me solve the equation:
- 5/9 = x/360
- 9x = 1800
- x = 1800 / 9
- x = 200
However, none of the options provided in the question (a. 180, b. 252, c. 405, d. 720) matches the correct answer (200). Hence, we must assume that there has been a mistake in either the question or in the answer choices provided.