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The scale of a map is 1 inch: 250 miles. City A is 378 miles from City B. To the nearest tenth, how far is its distance on the map? Show your work. Explain.

Sagot :

This is a proportion question. We can express this as an equation where the answer is x:

[tex] \frac{1}{250} [/tex] = [tex] \frac{x}{378} [/tex]

From there, you can just cross-multiply and divide to get:

[tex] \frac{1 * 378}{250} [/tex]

A tenth of 250 is 25, so this is roughly [tex] \frac{375}{250} [/tex] or [tex] \frac{17}{10} [/tex], so it'll be approximately 1.7 inches on the map.

Answer: Approx 1.5 inches

Step-by-step explanation:

Since, according to the question, The scale of a map is 1 inch: 250 miles.

Thus, 1 inches = 250 miles,

⇒1 miles= 1/250 inches.

⇒378 miles=378×1/250 inches.

⇒378 miles = 1.512 inches.

Therefore, If City A is 378 miles from City B.

Then, the distance between city A and B in inches = 1.512 inches ≈ 1.5 inches.


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