Suppose that 22 inches of wire costs 88 cents.

At the same rate, how much (in cents) will 44 inches of wire cost?

1 answer

The cost of wire is directly proportional to the length of the wire. Therefore, if 22 inches of wire cost 88 cents, we can set up a proportion:

\(\frac{{22 \text{ inches}}}{{88 \text{ cents}}} = \frac{{44 \text{ inches}}}{{x \text{ cents}}}\)

Cross-multiplying, we have 22x = 88(44).

Simplifying, we get 22x = 3872.

Dividing by 22, we find x = 176.

Therefore, 44 inches of wire will cost 176 cents. Answer: \boxed{176}.
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