Question

bruce is drawing a map to a cave using a scale of 1 foot to 6 yards. he wants to show that the cave is 240 yards from his home. how many feet should he show for this distance on the map? ? ft

Explanation:

Step1: Understand the scale

The scale is 1 foot (on map) to 6 yards (actual). So, 1 ft map = 6 yd actual.

Step2: Set up the proportion

Let \( x \) be the map distance in feet. We have the proportion \(\frac{1\ \text{ft}}{6\ \text{yd}}=\frac{x\ \text{ft}}{240\ \text{yd}}\).

Step3: Solve for \( x \)

Cross - multiply: \( 6x = 240\times1 \). Then \( x=\frac{240}{6}=40 \).

Answer:

40