A map has a scale of 1/2 inch to 4 miles. The shortest distance between two cities on the map measures 8 inches. If d represents the shortest distance between the two cities, what is d?
To find the value of d, we need to use the scale provided by the map. According to the scale, 1/2 inch represents 4 miles.
Let's set up a proportion to find the value of d.
1/2 inch = 4 miles
8 inches = d (the shortest distance between the two cities)
We can write the proportion as:
1/2 inch / 8 inches = 4 miles / d
To solve for d, we cross-multiply:
(1/2) * d = 8 * 4
(d/2) = 32
Multiplying both sides by 2:
d = 64 miles
Therefore, the shortest distance between the two cities is 64 miles.
Cross multiply and solve for x.
(1/2) / 4 = 8 / d