(b) A related rule of thumb is that a typical man who is 70 inches tall weighs 170 pounds. On the basis of these two rules of thumb, use a formula to express the trend giving weight w as a linear function of height h.
w(h)= ?
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jimthompson5910 (jim_thompson5910):
it sounds like weight (w) is directly related to height (h)
so we have direct variation
w = k*h
where k is some constant (a fixed number)
jimthompson5910 (jim_thompson5910):
plug in the given weight and height, then solve for k
w = k*h
170 = k*70
I'll let you isolate k
OpenStudy (anonymous):
k=2.4
jimthompson5910 (jim_thompson5910):
I'm getting 170/70 = 2.42857142857142
if you round that to one decimal place, then you get k = 2.4
so it looks good
jimthompson5910 (jim_thompson5910):
so `w(h) = 2.4*h`
whatever the height is, the weight will be approximately 2.4 times the height
weight = 2.4 times height
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OpenStudy (anonymous):
but w= 2.4 * 70 isn't it, its slope
jimthompson5910 (jim_thompson5910):
well they want a general formula
not just that specific value
jimthompson5910 (jim_thompson5910):
so you replace the 70 with some general height h
jimthompson5910 (jim_thompson5910):
to get `w(h) = 2.4*h`
OpenStudy (anonymous):
that isn't it either :(
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OpenStudy (anonymous):
its 5h-180
thanks!
jimthompson5910 (jim_thompson5910):
hmm strange, it seems like they're converting but I'm not sure