F5 Maths

2012-06-27 3:35 am
Given that y varies directly as x, where y>x, is it true that (y+2) varies directly as (x+3) ?
Explain briefly.

回答 (1)

2012-06-27 4:49 am
✔ 最佳答案
No.

Since y ∝ x, then y = kx
where k is a constant.

y + 2
= kx + 2
= k(x + 3) - 3k + 2

Unless -3k + 2 = 0
y + 2 ≠ constant * (x + 3)

But when -3k + 2 = 0
k = 2/3 and y = 2x/3
y > x only holds when both x and y are negative.

Hence (y + 2) does NOT vary directly as (x + 3).

2012-06-26 20:50:00 補充:
發問時點數已扣除,刪除問題只會損人不利己。
參考: andrew, andrew


收錄日期: 2021-04-13 18:47:01
原文連結 [永久失效]:
https://hk.answers.yahoo.com/question/index?qid=20120626000051KK00610

檢視 Wayback Machine 備份