Question

Braylon went to Los Angeles, California, for the summer to visit his cousins. He used a map of bus routes to get from the airport to his cousin’s house. The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches. What is the scale factor? Use a colon (:) to separate the ratio. e.g. 1:2 Do not use commas, e.g. 1,230 is written as 1230.

Note: 1 mile = 5,280 feet.

Answer 1

The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches.

Scale factor is 1 inch: 475200 inches

Given :

The distance from the airport to his cousin’s house is 30 miles. On his map, the distance was 4 inches

we know that scale factor is inches by number of miles

number of miles times scale factor = distance in inches

scale factor =distance in inches / number of miles

$scale \; factor \; is \; \frac{ 4}{30}$

Divide 4  an 30 by 2 so we get

$\frac{2}{15}$

Scale factor is 2 inches : 15 miles

To get scale factor in feet then we multiply 15 by 5280

Scale factor is 2 : 79200 feet

To convert into inches we multiply 15 by   63360

Scale factor is 2: 950400

or 1: 475200

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