Question
Delta math finding unit rates
Answers
GPT-4o mini
Finding unit rates involves determining how much one unit of something is in comparison to another unit. This can be useful in various real-life scenarios, such as calculating price per item, speed (distance per time), or other ratios.
Here's how to find unit rates step-by-step:
1. **Identify the two quantities being compared**: For example, if you're calculating the price per item, you would have the total cost and the total number of items.
2. **Set up the ratio**: For example, if an item costs $30 for 5 items, the ratio would be 30 (cost) to 5 (items).
3. **Divide the first quantity by the second**: In our example, you would divide 30 by 5:
\[
\text{Unit Rate} = \frac{\text{Total Cost}}{\text{Total Number of Items}} = \frac{30}{5} = 6
\]
This means the unit rate is $6 per item.
4. **Express the unit rate**: Finally, write the unit rate in a way that clearly communicates the comparison. In this case, it's $6/item, or $6 per item.
### Example Problems:
1. **Speed**: If a car travels 150 miles in 3 hours, what is its speed in miles per hour?
\[
\text{Speed} = \frac{150 \text{ miles}}{3 \text{ hours}} = 50 \text{ miles per hour}
\]
2. **Pricing**: If you buy 4 bottles of soda for $8, how much does each bottle cost?
\[
\text{Cost per bottle} = \frac{8 \text{ dollars}}{4 \text{ bottles}} = 2 \text{ dollars per bottle}
\]
### Practice:
Try to find the unit rates for the following scenarios:
1. A car uses 12 gallons of gas to drive 300 miles. What is the car's miles per gallon?
2. A recipe calls for 4 cups of flour for 2 cakes. How much flour is needed for 1 cake?
If you have specific problems from Delta Math or a similar resource you'd like help with, feel free to share!
Here's how to find unit rates step-by-step:
1. **Identify the two quantities being compared**: For example, if you're calculating the price per item, you would have the total cost and the total number of items.
2. **Set up the ratio**: For example, if an item costs $30 for 5 items, the ratio would be 30 (cost) to 5 (items).
3. **Divide the first quantity by the second**: In our example, you would divide 30 by 5:
\[
\text{Unit Rate} = \frac{\text{Total Cost}}{\text{Total Number of Items}} = \frac{30}{5} = 6
\]
This means the unit rate is $6 per item.
4. **Express the unit rate**: Finally, write the unit rate in a way that clearly communicates the comparison. In this case, it's $6/item, or $6 per item.
### Example Problems:
1. **Speed**: If a car travels 150 miles in 3 hours, what is its speed in miles per hour?
\[
\text{Speed} = \frac{150 \text{ miles}}{3 \text{ hours}} = 50 \text{ miles per hour}
\]
2. **Pricing**: If you buy 4 bottles of soda for $8, how much does each bottle cost?
\[
\text{Cost per bottle} = \frac{8 \text{ dollars}}{4 \text{ bottles}} = 2 \text{ dollars per bottle}
\]
### Practice:
Try to find the unit rates for the following scenarios:
1. A car uses 12 gallons of gas to drive 300 miles. What is the car's miles per gallon?
2. A recipe calls for 4 cups of flour for 2 cakes. How much flour is needed for 1 cake?
If you have specific problems from Delta Math or a similar resource you'd like help with, feel free to share!