Answer
Find out the how much would a bass 32 in long and a 20 in girth weigh .
To proof
As given
weight of a bass varies jointly as the girth and the square of its length
Formula
[tex]w \propto g\ l^{2}[/tex]
w = k g l²
Where w = weight , g = girth , l = length
k = constant of proportionality
As given
a prize winning bass weighed in at 20.4 lb and measured 35 in long with a 22in girth.
Put all the value in the above equation
we get
20 .4 = k × 35 × 35× 22
[tex]k = \frac{20.4}{26950}[/tex]
k = 0.000757 ( approx )
As given
a bass 32 in long and a 20 in girth weigh
put in the formula
w = 0.000757 × 32 ×32 ×20
w = 15.50 lb( approx)
the weight is 15.50 lb( approx) for a bass 32 in long and a 20 in girth weigh
Hence proved
