SOLUTION: Hello, I am stuck on this problem. Can you assist me to set it up and in solving? I appreciate your time in advance. The weight of a bass varies jointly as its girth and the

Question 1137466: Hello, I am stuck on this problem. Can you assist me to set it up and in solving? I appreciate your time in advance.

The weight of a bass varies jointly as its girth and the square of its length. (Girth is the distance around the body of the fish.) A prize-winning bass weighed in at 22.5 lb and measured 36 in. long with a 20-in. girth. How much (to the nearest tenth of a pound) would a bass 31 in. long with a 22-in. girth weigh?
Answer by greenestamps(13198) (Show Source): You can put this solution on YOUR website!

Consider how each factor changes the weight, comparing the new bass to the reference prize-winning bass.

The new length is 31 inches; the reference length is 36 inches. The weight is proportional to the square of the length, so the reference weight will get multiplied by (31/36)^2.

The new girth is 22 inches; the reference girth is 20 inches. The weight is proportional to the girth, so the reference weight will get multiplied by 22/20 = 11/10.

To the nearest tenth of a pound, the bass with length 31 inches and girth 22 inches will weigh 18.4 pounds.
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