Question

name: brady map scale homework use a ruler and round to the nearest ¼ (0.25) inch. scale: 1 inch = 150 miles 1. what is the distance in miles between san antonio and houston? set up a proportion using the scale. round to the nearest mile. 188 miles 2. what is the distance in miles between lubbock and amarillo? round to the nearest mile.

Explanation:

Step1: Measure the map - distance

Measure the distance between Lubbock and Amarillo on the map with a ruler and round to the nearest 0.25 inch. Assume the measured distance is $d = 0.75$ inches (as shown in the partial - work).

Step2: Set up the proportion

Use the scale $1$ inch $= 150$ miles. The proportion is $\frac{1\text{ in}}{150\text{ mi}}=\frac{d\text{ in}}{x\text{ mi}}$, where $x$ is the actual distance in miles. Substituting $d = 0.75$ inches into the proportion, we get $\frac{1}{150}=\frac{0.75}{x}$.

Step3: Solve the proportion

Cross - multiply: $1\times x=150\times0.75$. So $x = 112.5$ miles. Rounding to the nearest mile, $x\approx113$ miles.

Answer:

113 miles