The tables show information about the scale ratios of two different maps. 2 tables. The first table is a 2-column table with 2 rows titled Map of the United States. Column 1 is labeled Centimeters with entries 3, 12. Column 2 is labeled Miles with entries 50, 200. The second table is a 2-column table with 2 rows titled Map of Africa. Column 1 is labeled Centimeters with entries 2, 15. Column 2 is labeled miles with entries 40, 300. The ratio of centimeters to miles on the map of the United States is . The ratio of centimeters to miles on the map of Africa is . The ratio of centimeters to miles on the map of the United States is the ratio of centimeters to miles on the map of Africa.\

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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

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