Amy builds a toothpick model of a bridge for a school project. The real bridge is 1,650 feet long and 134 feet high. Amy's model bridge is only 8 inches high.
Determine the approximate length of her model bridge shown in the drawing above.

Explanation

Set up a proportion for the measurements of the heights versus the lengths: \(\frac{8 \mathrm{in}}{134 \mathrm{ft}}=\frac{x}{1,650 \mathrm{ft}}\)

Cross multiply we get \(1,650 \times 8=134 x\)

The length of the model bridge must be approximately 98.5 inches.

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