The double number lines show the ratio of feet to miles.

Question

A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.
\[0\]
\[10{,}560\]
\[10{,}560\]
\[0\]
\[2\]
\[2\]
A double number line with 4 equally spaced tick marks. The line labeled Feet, reads from left to right: 0, an unlabeled tick mark, 10,560, an unlabeled tick mark. The line labeled Miles, reads from left to right: 0, an unlabeled tick mark, 2, an unlabeled tick mark.
How many feet are in
\[3\] miles?

Answer 1

To find the number of feet in 3 miles, we can use the double number line. First, we find the point on the "Miles" line that corresponds to 3. Since the distance from 0 to 2 on the "Miles" line is the same as the distance from 0 to 10,560 on the "Feet" line, we can treat these two distances as equivalent. Therefore, the point on the "Feet" line that corresponds to 3 on the "Miles" line is $\frac{3\cdot 10,560}{2} = \boxed{15,840}$ feet.