The record height of a man to date is 8 feet 11 inches (107 inches). If all men had identical body types, their weights would vary directly as the cube of their heights. Assume that all men do have identical body types. If a man who is 5 feet 10 inches tall (70 inches) weighs 170 pounds, approximately how much would a man with a height of
9 feet 2 inches (110 inches) weigh?

A man with a record height of 9 feet 2 inches would weigh approximately ___ lbs.

Direct variation means y=kx, using the point (70,170) we can solve for k...

170=70k, k=17/7 so our equation is:

y(x)=17x/7 and we wish to know how much a 110 inch man would weigh...

y(110)=17*110/7

y(110)=1870/7 lbs

y(110)≈267 lbs (to nearest whole pound)

Answer Link

nishantwork777 nishantwork777 · Answer 2 · 2021-10-19T08:03:53+02:00

The weight of man having a height of 9 feet 2 inches is approximately 267.14 lbs.

Step-by-step explanation:

Given information:

The record height of a man is 8 feet 11 inches (107 inches)

His weight is 170 pounds.

All mans are having identical body types

We need to calculate the weight of man having height 9 feet 2 inches(110 inches).

According to the question:

Direct variation can be treated as :

[tex]y=kx[/tex] ,

Now, we have the values of one man

So , on solving for [tex]k[/tex]

[tex]170=70 \times k\\\\k=17/7[/tex]

Now,

For the height of 110 inches

[tex]y(110)=(17/7)\times 110\\y(110)=1870/7\\y(110)=267.14[/tex]

Hence, the weight of man having a height of 9 feet 2 inches is approximately 267.14 lbs.

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