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Answered

Which ratio is equivalent to the unit rate

30 miles

1 gallon

? How was the unit rate transformed into the equivalent ratio?

A

3 gallons

10 miles

; by dividing the numerator and denominator of the unit rate by 10.


B

90 miles

5 gallons

; by multiplying the numerator and denominator of the unit rate by 3.


C

6 gallons

180 miles

; by multiplying the numerator and denominator of the unit rate by 2.


D

180 miles

6 gallons

; by multiplying the numerator and denominator of the unit rate by 6.

Verified Answer :

It would be D.) because you multiply the ratio 30:1 by 6

MrQuizzical

Answer D is correct. The ratio 30 miles:1 gallon multiplied by 6 is 180 miles:6 gallons



Option A: Divide each by 10 and you will get 10 miles and 3 gallons. That is false. You would get 3 miles and 0.1 gallons.

Option B: Multiply the ratio by 3 to get 90 miles and 5 gallons. This is also false. If you multiply by three you would get 90 miles and 3 gallons.

Option C: Multiply by 2 to get 180 miles and 6 gallons. This is wrong. Multiplying 30 miles and 1 gallon by 2 is 60 miles and two gallons

Option D: Multiply by 6 to get 180 miles and 6 gallons. This works because 30x6=180 and 1x6=6.

Multiply both sides of the ratio by the same number to get an equivalent ratio.