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Assignment - 4. Ratios, Rates, and Unit Rates
Attempt 1 of 2
Decide which unit rate is greatest and explain why using complete sentences.
• 12 apples for $4
• 21 apples for $8
• 35 apples for $14
• 45 apples for $16
WRITER

3 apples per $ is the greatest unit rate when someone buy 12 apples for $4, because we are able buy more apples with this rate for the same price.

Step-by-step explanation:

As we know that unit rate can be calculated by dividing the two quantities having different units.

For example, Madrid has been champions 10 times in 30 seasons,

i.e. 10 champions / 30 seasons = 0.33 champions per season

and

Barcelona has been champions 5 times in 30 seasons.

i.e.  5 champions / 30 seasons = 0.16 champions per season

Thus, the champion rate for Real Madrid is greater than the champion rate for Barcelona. It means, Real Madrid has been a better team.

Now, let us check and answer the question.

       12 apples / $4 = 3 apples per $

       21 apples / $8 = 2.62 apples per $

       35 apples / $14 = 2.5 apples per $

       45 apples / $16 = 2.81 apples per $

From the above calculations and observation, we can conclude that 3 apples per $ is the greatest unit rate when someone buy 12 apples for $4.

This unit rate is the greatest because we are able buy more apples with this rate for the same price.

In other words, the rate is cheaper than the unit rate of the rest, because can buy more apples with this rate for the same price.

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.