Question

Decide whether the rates are equivalent.

126 points every 3 games

210 points every 5 games

Explain your answer

Answer 1

Answer

Yes the rates are equal as they both = to 42

Answer 2

The rates are equal.

Explanation:

To compare these rates, convert them to a unit rate. Divide both the numerator and denominator by the denominator. If you were to express 126 points every 3 games as a fraction:

`(126)/(3)`

Now, divide both the top and the bottom by 3:

`(126/3)/(3/3)=(42)/(1)=42`

That is a unit rate of 42 points per game.

Next, do the same thing for the other rate:

`(210)/(5)=(210/5)/(5/5)=(42)/(1)=42`

This is also a unit rate of 42 points per game, so the rates are equal.