Question

Help please The actual distance between Apple Street and Pear Road is 8 miles. On a map, the distance is 3.5 inches. What proportion can you form to determine the scale on the map? 1 inch = ?

Answer 1

Answer:

1 in on the map = $\frac{16}{7}\ miles$ on the street

Step-by-step explanation:

Represent the actual distance as y and the map distance as x

So:

x = 3.5in when y = 8 miles

Required

Determine the proportion

The proportion of map measurement to actual measurement is:

$x : y$

This gives:

$3.5\ in : 8\ miles$

Divide by 3.5

$\frac{3.5\ in}{3.5} : \frac{8\ miles}{3.5}$

$1\ in: \frac{8\ miles}{3.5}$

Simplify the fraction

$1\ in: \frac{8 * 2\ miles}{3.5*2}$

$1\ in: \frac{16\ miles}{7}$

$1\ in: \frac{16}{7}\ miles$

This means that:

1 in on the map = $\frac{16}{7}\ miles$ on the street