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rashminuligonda
hello Marty Murray

if you considering from 900. you are including grade 18 aswell.(how is 18.2 rounded off to 19?) since we can round off, shouldnt we consider from 925(19.5 grade) to 1000?
Here's the relevant language from the passage.

To compute the grade, the number of points earned in the course was divided by 50 and then rounded up to the next whole number.

We see that the result of the division is always "rounded up." So, performing the operation on any point number greater than 900 will result in a grade of 19 or higher.
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Hi rashminuligonda,

Your instinct about rounding is reasonable, but the question isn't using normal rounding. The phrase doing the work is "rounded up to the next whole number."

"Rounded up" always goes up, never down. With ordinary rounding, 18.2 would round to 18 and you'd need 18.5 (so 925 points) to reach 19. But "rounded up" means: take whatever decimal you get and bump it to the next whole number, no matter how small the decimal is. So 18.2 does not become 18 - it becomes 19.

Let's read the boundary exactly with the rule Points / 50:

- 900 points -> 900/50 = 18.0 exactly -> stays at 18 (a whole number, nothing to round up).
- 901 points -> 901/50 = 18.02 -> rounds up to 19.
- 950 points -> 950/50 = 19.0 exactly -> grade 19.

So every point total greater than 900 and up to 950 lands on grade 19, and greater than 950 up to 1000 lands on grade 20. That's exactly why the count starts just above 900, not at 925.

Quick rehearsal with easy numbers - apply "round up to the next whole number" to these:

- 12.1 -> rounds up to 13
- 12.9 -> rounds up to 13
- 12.0 -> already a whole number, stays 12

See the pattern: any decimal sitting above a whole number jumps to the next integer, but an exact whole number stays put. Apply that to the graph: count every point above 900 up to 1000 (that's the grade 19-or-20 group), then take the Section C share. You get 4 out of 9≈0.444.

Answer: 0.444

rashminuligonda
hello Marty Murray

if you considering from 900. you are including grade 18 aswell.(how is 18.2 rounded off to 19?) since we can round off, shouldnt we consider from 925(19.5 grade) to 1000?

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