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To protect her new two-wheeler, Iroda Bike buys a length of chain. She finds that its linear density is 0.87 lb/ft. If she wants to keep its weight below 1.9 lb, what length of chain is she allowed? Answer in units of ft.

Respuesta :

Let x = length of chain (ft).

Because the linear density of the chain is 0.87 lb/ft, the weight of the chain is
W = (0.87 lb/ft)*(x ft) = 0.87x lb.

The weight should be kept below 1.9 lb, therefore
0.87x < 1.9
x < 1.9/0.87 
x < 2.184 ft

A length of 2.18 ft will satisfy this condition.

Answer: 2.18 ft (nearest thousandth)