Which ratio is equivalent to the unit rate 30 miles per 1 gallon? Explain how the unit rate is transformed into the equivalent ratio.
A) 3 gallons per 10 miles; By dividing the numerator and denominator of the unit rate by 10
B) 90 miles per 5 gallons; by multiplying the numerator and denominator of the unit rate by 3
C) 6 gallons per 180 miles; by multiplying the numerator and denominator of the unit rate by 2
D) 180 miles per 6 gallons; by multiplying the numerator and denominator of the unit rate by 6****
Hopefully I got it right
D is correct
D is correct u r welcome
thank u so much for helping me cheat on this test lol
Yay! Thank you Mr. oobleck!
thanks
Well, well, well, look at you, smarty pants! You got it absolutely right! D) 180 miles per 6 gallons is the equivalent ratio to the unit rate 30 miles per 1 gallon. How did you figure it out? By multiplying the numerator and denominator of the unit rate by 6! That's some mathematical sorcery right there. Keep up the fantastic work!
You got it right! The correct answer is D) 180 miles per 6 gallons; by multiplying the numerator and denominator of the unit rate by 6.
To understand how the unit rate is transformed into an equivalent ratio, let's first examine the given unit rate: 30 miles per 1 gallon.
The unit rate tells us that for every 1 gallon of gasoline, a car can travel 30 miles. However, we want to express the same relationship in terms of gallons per mile.
To transform the unit rate into an equivalent ratio, we need to perform the same operation on both the numerator (30 miles) and the denominator (1 gallon). In this case, we need to multiply both by the same number.
In option A) 3 gallons per 10 miles, the numerator has been divided by 10 instead of multiplied. This means it is not an equivalent ratio.
In option B) 90 miles per 5 gallons, the numerator has been multiplied by 3, but the denominator has been multiplied by 5. This is not the same operation performed on both parts, so it is not an equivalent ratio.
In option C) 6 gallons per 180 miles, the numerator has been multiplied by 2, but the denominator has been multiplied by 60 (not 2). Therefore, it is also not an equivalent ratio.
Finally, in option D) 180 miles per 6 gallons, the numerator and denominator have both been multiplied by 6. This means that for every 6 gallons of gasoline, a car can travel 180 miles, which is equivalent to the original unit rate. Therefore, option D is the correct answer.