Question

The weight of a fish varies jointly as its girth and the square of its length. One fish weighed in at 24.5 lb and measured

35 in long with 25 in girth. How much would a fish 30 in long with 24 in girth weigh?
The fish would weigh approximately lb.
(Round to the nearest tenth as needed.)

Answer 1

The fish would weigh approximately 18.4 lb.

Step-by-step explanation:

To solve this problem, we can use the proportionality constant in the statement 'The weight of a fish varies jointly as its girth and the square of its length.' Let x be the weight of the fish we want to find.

According to the given information, we have the proportion:

24.5 lb / (35 in * (25 in)^2) = x / (30 in * (24 in)^2)

Simplifying, we get:

x = (24.5 lb * 30 in * (24 in)^2) / (35 in * (25 in)^2)

Calculating this expression, we get that the fish would weigh approximately 18.4 lb.