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A 4-ounce container of Greek yogurt contains 160 calories. Find the unit rate of calories per ounce.

A. [tex]\(\frac{160 \text{ calories}}{4 \text{ ounces}}\)[/tex]
B. [tex]\(\frac{40 \text{ calories}}{1 \text{ ounce}}\)[/tex]
C. [tex]\(40:1\)[/tex]

Sagot :

To find the unit rate of calories per ounce, follow these steps:

1. Identify your quantities:
- Total calories: 160
- Total ounces: 4

2. Set up the ratio:
[tex]\[ \text{Unit rate} = \frac{\text{calories}}{\text{ounces}} \][/tex]
This is represented as:
[tex]\[ \frac{160 \text{ calories}}{4 \text{ ounces}} \][/tex]

3. Divide to find the unit rate:
You need to divide the number of calories by the number of ounces to find the calories per ounce:
[tex]\[ \frac{160 \text{ calories}}{4 \text{ ounces}} = 40 \text{ calories per ounce} \][/tex]

4. Express the result:
Thus, the unit rate is 40 calories per ounce. This can be expressed in three equivalent ways:
- As a fraction: [tex]\(\frac{40 \text{ calories}}{1 \text{ ounce}}\)[/tex]
- As a ratio: [tex]\(40:1\)[/tex]
- As a sentence: There are 40 calories in each ounce of Greek yogurt.

So, the unit rate of calories per ounce in the Greek yogurt is 40 calories per ounce.