A map of Texas shows the scale to be 1in per 80 miles. The distance between Austin and Corpus Christi is 232 miles. How many inc

Question

3 years ago

12

hes apart will the two cities be on the map

1 answer:

umka21 [38] · Answer 1 · 2022-07-23T09:16:44+03:00

The two cities will be 2.9 inches apart on the map.

Step-by-step explanation:

Given scale of map is;

1 inch = 80 miles

Ratio of inch to miles = 1:80

Actual distance between Austin and Corpus = 232 miles

Let,

x be the distance between Austin and Corpus on map.

Ratio of inch to miles = x:232

Using proportion;

Scale ratio :: Actual ratio

$1:80::x:232\\$

Product of mean = Product of extreme

$80*x=232*1\\80x=232\\$

Dividing both sides by 80

$\frac{80x}{80}=\frac{232}{80}\\x=2.9$

The two cities will be 2.9 inches apart on the map.

Keywords: ratio, proportion

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