To find the map distance, we can use the formula:
Map distance = Actual distance / Scale
For the first question:
The actual distance between the two cities is given as 135 km.
The map scale is given as 1 cm:100 km.
Using the formula, we have:
Map distance = 135 km / 100 km = 1.35 cm
So the correct answer is B. 1.35 cm.
For the second question:
The map scale is given as 1 cm:45 km.
The map distance from Albuquerque to Santa Fe is given as 2 cm.
Again, using the formula, we have:
Actual distance = Map distance x Scale
Actual distance = 2 cm x 45 km = 90 km
So the correct answer is A. 90 km.
For the third question:
The scale of the model is given as 1 in/1.5 ft.
The height of the model is given as 7 inches.
Using the formula, we have:
Actual height = Height of model x Scale
Actual height = 7 inches x 1.5 ft/inch = 10.5 ft
So the correct answer is B. 10.5 ft.
For the fourth question:
The width of the sand box on the drawing is given as 2 inches.
The actual width of the sand box is given as 8 feet.
Using the formula, we have:
Scale = Map distance / Actual distance
Scale = 2 inches / 8 feet = 1/4 = 1 in. = 4 ft
So the correct answer is A. 1 in. = 4 ft.