homework #40: write and solve a proportion. 1.) oscar makes a model boat that is 8 inches long. he uses a…
homework #40: write and solve a proportion. 1.) oscar makes a model boat that is 8 inches long. he uses a scale factor of 1 inch to 2.5 feet. what is the actual boat size?
Answer
Explanation:
Step1: Define proportion variables
Let $x$ = actual boat length (feet). Set up proportion: $\frac{\text{Model length}}{\text{Actual length}} = \frac{1}{2.5}$, so $\frac{8}{x} = \frac{1}{2.5}$
Step2: Cross-multiply to solve for $x$
$1 \times x = 8 \times 2.5$
Step3: Calculate final value
$x = 20$
Answer:
20 feet