Which of these rate descriptions represent unit rates? Check all that apply.

100 calories for 2 servings
$5 for every pound
1 mile per 3 hours
4 words per minute
$2 for every 30 minutes

1 answer

A unit rate is a comparison of two different quantities with a denominator of one. Here are the descriptions you provided and whether they represent unit rates:

  1. 100 calories for 2 servings - This is not a unit rate. It can be simplified to 50 calories per serving.

  2. $5 for every pound - This is a unit rate. It represents $5 per pound.

  3. 1 mile per 3 hours - This is not a unit rate. It can be simplified to \( \frac{1}{3} \) miles per hour.

  4. 4 words per minute - This is a unit rate, representing 4 words in 1 minute.

  5. $2 for every 30 minutes - This is not a unit rate. It can be simplified to \( \frac{2}{30} \) dollars per minute or \( \frac{1}{15} \) dollars per minute.

Based on this analysis, the rate descriptions that represent unit rates are:

  • $5 for every pound
  • 4 words per minute