Question

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.

Answer 1

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

Answer 2

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.