6. Students are building a model of volcano. The volcano is about 7,992 feet tall. The students want the model to be 18 inches tall. What scale should they use?

Question

7. Two cities on a map were 2 1/4 inches apart. The cities are actually 56.25 miles apart. What scale was used to draw the map.
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Hi, this has stumped me a lot and is there a way of working this out or is it just a one word type of answer? If you could help, I'd greatly appreciate it. Thanks!

Answer 1

I will do the first one, you do the 2nd in the same way

volcano : model = 7992 ft : 18 inches
= 444 ft : 1 inch

Notice I had to keep the units since they were different
if we change the ft to inches the ratio would be
5328 inches : 1 inch
now I can drop the units

volcano : model = 5328 : 1
you will have to see which answer they want

Answer 2

7. 56.25/2.25 = 25 mi/in.
Scale: 1 in. = 25 miles.