Question

suppose that 15 inches of wire costs 75 cents. at the same rate, how many inches of wire can be bought for 55 cents?
□ inches

Explanation:

Step 1: Find the unit rate (cost per inch)

First, we find out how much 1 inch of wire costs. We know that 15 inches cost 75 cents. So the cost per inch (unit rate) is total cost divided by total inches. So that's \( \frac{75}{15} \) cents per inch.
\( \frac{75}{15} = 5 \) cents per inch.

Step 2: Find the length for 55 cents

Now, we want to find how many inches we can buy with 55 cents. Since each inch costs 5 cents, we divide the total money (55 cents) by the cost per inch (5 cents per inch). So the length \( L \) is \( \frac{55}{5} \) inches.
\( \frac{55}{5} = 11 \) inches.

Answer:

11