Lyle knows that the distance from his house to his school is Three-fourths of a mile. On the map he has drawn of his neighborhood, they are One-fifth of an inch apart. What scale could Lyle include on the map? Select three options. One-fifth inch = Three-fourths mile Three-fourths inch = One-fifth mile Four-fifths inch = 3 miles 3 inches = 12 miles 4 inches = 15 miles
Question
Lyle knows that the distance from his house to his school is Three-fourths of a mile. On the map he has drawn of his neighborhood, they are One-fifth of an inch apart. What scale could Lyle include on the map? Select three options. One-fifth inch = Three-fourths mile Three-fourths inch = One-fifth mile Four-fifths inch = 3 miles 3 inches = 12 miles 4 inches = 15 miles
Solution
The three options that Lyle could include on his map are:
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One-fifth inch = Three-fourths mile: This is the scale that Lyle has already determined based on the distance between his house and his school.
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4 inches = 15 miles: This scale is equivalent to the first option. If you multiply both sides of the first scale by 20, you get 4 inches = 15 miles.
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3 inches = 12 miles: This scale is also equivalent to the first option. If you multiply both sides of the first scale by 15, you get 3 inches = 12 miles.
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