Mathematics, 26.06.2019 04:30 babyskitt

Jada has a scale map of kansas that fits on a page in her book. the page is 5 inches by 8 inches. kansas is about 210 miles by 410 miles. select all scales that could be a scale on the map. (there are 2.54 centimeters in an inch.) a. 1 in to 1 my b. 1 cm to 1 km c. 1 in to 10 mi d. 1 ft to 100 mi e. 1 cm to 200 km f. 1 in to 100 mi g. 1 cm to 1000 km

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Answer from: richie3922

The answer are (E), (F) and (G).

Step-by-step explanation: Given that Jada fits a scale map of kansas on a page in her book. The dimension of the page is 5 inches by 8 inches and kansas is about 210 miles by 410 miles. Given options are

(A) If we take 1 inch to 1 mile, then 5 inches will be 5 miles and 8 inches will be 8 miles, which are less than 210 and 410 miles respectively. So, this scale will not work.

(B) If we take 1 cm to 1 km, that is, .39 inches to .69 miles i.e., 1 inch to 1.76. So, 5 inches will be 8.8 miles and 8 inches will be 14.8 miles, which are again less than 210 and 410 miles. Hence, this scale will also not work.

(C) If we take 1 inch to 10 miles, then 5 inches will be 50 miles and 8 inches will be 80 miles, which are less than 210 and 410 miles respectively. So, this scale will not work.

(D) If we take 1 ft to 100 miles, i.e., 1 inch to 8.33 miles, then 5 inches will be 41.65 miles and 8 inches will be 66.64 miles, which are less than 210 and 410 miles respectively. So, this scale will also not work.

(E) If we take 1 cm to 200 km, i.e., 1 inch to 353.8 miles, then 5 inches will be 1769 miles and 8 inches will be 2830.4 miles, which are greater than 210 and 410 miles respectively. So, this scale will work.

(F) If we take 1 inch to 100 miles, then 5 inches will be 500 miles and 8 inches will be 800 miles, which are greater than 210 and 410 miles respectively. So, this scale will also work.

(G) If we take 1 cm to 1000 km, i.e., 1 inch to 1769 miles, then 5 inches will be 8845 miles and 8 inches will be 14152 miles, which are again greater than 210 and 410 miles respectively. So, this scale will work.

Thus, the correct options are (E), (F) and (G).

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