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Chapter 5: Problem 646

In the following exercises, find the unit rate. 180 calories per 8 ounces

Short Answer

Expert verified
22.5 calories per ounce

Step by step solution

01

Understand the problem

The problem requires finding the unit rate of calories per 1 ounce.
02

Set up the ratio

We are given 180 calories for 8 ounces. Set up the ratio as \(\frac{180 \text{ calories}}{8 \text{ ounces}}\).
03

Divide the numerator by the denominator

To find the unit rate, divide 180 by 8: \(\frac{180}{8} = 22.5\).
04

Write the unit rate

The unit rate is 22.5 calories per 1 ounce.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

calories per ounce
Let's delve into calories per ounce. When we say '180 calories per 8 ounces', we want to find out how many calories are in just one ounce. This is known as the 'unit rate'. It's essential to comprehend this concept because it helps us make smarter nutritional choices. The initial step involves setting up a ratio of calories to ounces, as given. Next, we divide the total calories by the number of ounces to derive the calories for one ounce. Don't worry, we will explore this further!
ratios and rates
Ratios and rates are fundamental in understanding how different quantities relate to each other. A ratio compares two quantities by division. For example, in our problem, we have a ratio of 180 calories to 8 ounces. By dividing these two numbers, we determine how many calories are in each ounce. In general, we can set up any ratio in the form \(\frac{a}{b}\) where 'a' and 'b' are the quantities being compared. In our scenario, 'a' stands for calories, and 'b' stands for ounces. This ratio is crucial in converting to the unit rate.
division for unit rates
Division for unit rates is the process we use to find how much of something there is per one unit of another thing. For instance, to calculate calories per ounce, we divide the total calories by the total number of ounces. Our original problem gives us 180 calories for 8 ounces. To convert this into a unit rate, we perform the division: \(\frac{180}{8} = 22.5\). This tells us there's 22.5 calories in each ounce. Using division allows us to break down any ratio into a simpler form that's easier to understand and compare with others.

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Most popular questions from this chapter

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