Final answer:
To find the number of inches represented by a given distance in miles on a map, set up a proportion using the given scale. The given scale is 1 inch = 15 miles.
Step-by-step explanation:
To find the number of inches represented by a given distance in miles on a map, we can set up a proportion using the given scale. The given scale states that 1 inch represents 15 miles. Let's call the distance in miles x. So, our proportion is as follows:
1 inch / 15 miles = x inches / x miles
To solve for x, cross-multiply and solve the equation:
1 * x miles = 15 * x inches
x miles = 15x inches
So, the distance of x miles is represented by x * 15 inches on the map.