Question

A map of Colorado shows a scale of 1 inch to 20 miles. Given that 1 mile is equivalent to 5280 feet, would to 1,267,200 be an equivalent scale?

a) Yes
b) No
c) Cannot be determined
d) Depends on the map's accuracy

Answer 1

A scale of 1,267,200 is not equivalent to the given scale of 1 inch to 20 miles on the map of Colorado. The answer is No.

Step-by-step explanation:

Given that the scale on a map of Colorado is 1 inch to 20 miles, we can determine if a scale of 1,267,200 is equivalent. To do this, we need to compare the ratio of the two scales: 1 inch / 20 miles = X inches / 1,267,200 miles. Cross multiplying, we get: 1 inch * (1,267,200 miles) = 20 miles * X inches.

1,267,200 inches = 20X inches. Dividing both sides by 20, we find that X = 63,360 inches. Since 1 mile is equivalent to 5,280 feet, we can convert 63,360 inches to feet: 63,360 inches * (1 foot / 12 inches) * (1 mile / 5,280 feet) = 10 miles. Therefore, a scale of 1,267,200 is not equivalent to the given scale of 1 inch to 20 miles.