Question

If u and w are inversely proportional and u=11 when w=5. Find u when w= 110.​

Answer 1

Answer:

When w = 110, u = $\frac{1}{2}$

Step-by-step explanation:

u and w are inversely proportional

=> u α 1/w

=> uw = k (where k is some constant) .....(i)

Given: when w = 5, u = 11

=> uw = 55

=> k = 55 .......from (i)

To find: u when w = 110

uw = 55

When w = 110,

u*110 = 55

=> u = 55/110

=> u = 1/2

Answer: When w = 110, u = 1/2

Remember:

When a is directly proportional to b, a = kb

When a is inversely proportion to b, ab = k

Answer 2

$\huge \cal \color{red}★A᭄ɴsᴡΣʀ࿐$

$ᴡʜᴇɴ \: w = 110, u = \frac{1}{2}$

☘Sᴛᴇᴘ ʙʏ sᴛᴇᴘ ᴇxᴘʟᴀɴᴀᴛɪᴏɴ :

u and w are inversely proportional

=> u α 1/w

=> uw = k (where k is some constant) .....(i)

◆ ɢɪᴠᴇɴ :

when w = 5, u = 11

=> uw = 55

=> k = 55 .......from (i)

◆ ᴛᴏ ғɪɴᴅ :

u when w = 110

uw = 55

When w = 110,

u*110 = 55

=> u = 55/110

=> u = 1/2

★Aɴsᴡᴇʀ : When w = 110, u = 1/2

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