The distance between two cities on a map is 2 inches. The map scale is 1/4 inch = 5 miles. What is the actual distance between the cities?

The actual distance is 40 miles.

Step-by-step explanation:

First, it’s always easier for the first unit to be 1, so it’s easier to convert. To do get one from 1/4, you would multiply by 4.

1/4 x 4 = 1

However, we all know that if you do something to one side, you must do it to the other side, so we multiply 5 by 4.

5 x 4 = 20.

Your equation know looks like this:

1 inch = 20 miles.

Now, we just multiply both sides by 2, since that the amount of inches we need.

1 x 2 inches = 20 x 2 miles

2 inches = 40 miles

Therefore, the actual distance is 40 miles.

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explanation

the graph has a slope of 1/3 because each time you move up 1, you go to the right 3. so, slope = rise/run = 1/3. we can cross choice a off the list since we want a slope of 3, rather than 1/3.

the first table shown has a slope of -3. this is because the rise is -6 and the run is 2, so slope = rise/run = -6/2 = -3. note how x increases by 2 each time (run) and y drops by 6 each time (rise). choice b can be eliminated.

the second table has a slope of 3. each time x goes up by 1, the y values increase by 3. slope = rise/run = 3/1 = 3. alternatively you can use the slope formula to prove that the slope is 3 here. use any two rows of values to generate the two points. choice c is one of the answers

the third table also has a slope of 3. let's use the slope formula to prove as such. i'm going to use the first two rows of the table. so i'll use the two points (2,1) and (5,10)

m = slope

m = (y2-y1)/(x2-x1)

m = (10-1)/(5-2)

m = 9/3

m = 3 so we get a slope of 3

choice d is the other answer

168

step-by-step explanation:

i am pretty sure that the answer is 168