Patrick drew a map of his neighborhood. He used a scale in which 1 inch equals 2 miles. What distance on Patrick's map should represent the 1.5 miles between his house and the nearest gas station?
1/2 = x/1.5
2x = 1.5
x = 0.75 = 3/4 inch
To find the distance on Patrick's map that represents the 1.5 miles between his house and the nearest gas station, you need to use the scale of the map, which is 1 inch equals 2 miles.
Since 1 inch on the map represents 2 miles, you can set up a proportion to find the distance on the map:
1 inch / 2 miles = X inches / 1.5 miles
To solve the proportion, cross-multiply:
2 miles * X inches = 1 inch * 1.5 miles
Simplify the equation:
2X = 1.5
Divide both sides by 2:
X = 1.5 / 2
X = 0.75
Therefore, the distance on Patrick's map that represents the 1.5 miles between his house and the nearest gas station is 0.75 inches.