Final answer:
To determine the representation of a distance of x miles on a map with a scale of 1 inch per 10 miles, a proportion is used, resulting in a conversion of x/10 inches on the map. None of the options A, B, C, or D provided in the question are correct since the relation is x/10 rather than a multiple of x.
Step-by-step explanation:
To find the representation of a certain distance x miles on a map with a scale where 1 inch equals 10 miles, we need to set up a proportion. The scale of the map is given by the ratio 1 inch / 10 miles. To find the number of inches that represent x miles, we set up the following proportion:
1 inch / 10 miles = y inches / x miles
Where y is the number of inches on the map that represent x miles in reality. We can solve for y by cross-multiplying:
10 miles * y inches = 1 inch * x miles
y = x / 10
This means that the distance of x miles is represented by x/10 inches on this map. Therefore, the correct answer is none of the options A, B, C, or D, since the relation is not a multiple of x but rather x divided by 10.