Answer :
- Calculate the unit rate for water: $2.89 / 16.75 \approx $0.17 per fluid ounce.
- Calculate the unit rate for yarn: $7.56 / 4.6 \approx $1.64 per pound.
- Calculate the unit rate for ribbon: $8.22 / 6.5 \approx $1.26 per yard.
- Calculate the unit rate for cheese: $5.74 / 10.33 \approx $0.56 per ounce. The final unit rates are: Water: $0.17/fluid ounce, Yarn: $1.64/pound, Ribbon: $1.26/yard, Cheese: $0.56/ounce. Therefore, the final answer is:
$\boxed{Water: $0.17/fluid ounce, Yarn: $1.64/pound, Ribbon: $1.26/yard, Cheese: $0.56/ounce}$
### Explanation
1. Understanding the Problem
We need to calculate the unit rate for each item, which is the cost per unit (fluid ounce, pound, yard, or ounce). We will divide the total cost by the quantity for each item and round the result to the nearest cent.
2. Calculating Water Unit Rate
First, let's calculate the unit rate for the bottle of water. The bottle contains $16
ung\frac{3}{4}$ fluid ounces and costs $2.89. To find the unit rate, we divide the cost by the number of fluid ounces: $$2.89
divide 16\frac{3}{4} = 2.89
divide 16.75 = 0.17253731343 \approx 0.17$$. So, the unit rate for water is approximately $0.17 per fluid ounce.
3. Calculating Yarn Unit Rate
Next, let's calculate the unit rate for the bag of yarn. The bag contains $4 \frac{3}{5}$ pounds and costs $7.56. To find the unit rate, we divide the cost by the number of pounds: $$7.56
divide 4\frac{3}{5} = 7.56
divide 4.6 = 1.64347826087 \approx 1.64$$. So, the unit rate for yarn is approximately $1.64 per pound.
4. Calculating Ribbon Unit Rate
Now, let's calculate the unit rate for the ribbon. We have $6 \frac{1}{2}$ yards of ribbon that cost $8.22. To find the unit rate, we divide the cost by the number of yards: $$8.22
divide 6\frac{1}{2} = 8.22
divide 6.5 = 1.26461538462 \approx 1.26$$. So, the unit rate for ribbon is approximately $1.26 per yard.
5. Calculating Cheese Unit Rate
Finally, let's calculate the unit rate for the block of cheese. The block contains $10 \frac{1}{3}$ ounces and costs $5.74. To find the unit rate, we divide the cost by the number of ounces: $$5.74
divide 10\frac{1}{3} = 5.74
divide 10.3333333333 = 0.55542168675 \approx 0.56$$. So, the unit rate for cheese is approximately $0.56 per ounce.
6. Final Answer
Therefore, the unit rates for each item, rounded to the nearest cent, are:
- Water: $0.17 per fluid ounce
- Yarn: $1.64 per pound
- Ribbon: $1.26 per yard
- Cheese: $0.56 per ounce
### Examples
Understanding unit rates is incredibly useful in everyday life. For example, when you're grocery shopping, comparing the unit prices of different-sized items helps you determine which option gives you the most product for your money. This skill is also valuable when comparing prices from different stores or online retailers, ensuring you make informed purchasing decisions and save money.
- Calculate the unit rate for yarn: $7.56 / 4.6 \approx $1.64 per pound.
- Calculate the unit rate for ribbon: $8.22 / 6.5 \approx $1.26 per yard.
- Calculate the unit rate for cheese: $5.74 / 10.33 \approx $0.56 per ounce. The final unit rates are: Water: $0.17/fluid ounce, Yarn: $1.64/pound, Ribbon: $1.26/yard, Cheese: $0.56/ounce. Therefore, the final answer is:
$\boxed{Water: $0.17/fluid ounce, Yarn: $1.64/pound, Ribbon: $1.26/yard, Cheese: $0.56/ounce}$
### Explanation
1. Understanding the Problem
We need to calculate the unit rate for each item, which is the cost per unit (fluid ounce, pound, yard, or ounce). We will divide the total cost by the quantity for each item and round the result to the nearest cent.
2. Calculating Water Unit Rate
First, let's calculate the unit rate for the bottle of water. The bottle contains $16
ung\frac{3}{4}$ fluid ounces and costs $2.89. To find the unit rate, we divide the cost by the number of fluid ounces: $$2.89
divide 16\frac{3}{4} = 2.89
divide 16.75 = 0.17253731343 \approx 0.17$$. So, the unit rate for water is approximately $0.17 per fluid ounce.
3. Calculating Yarn Unit Rate
Next, let's calculate the unit rate for the bag of yarn. The bag contains $4 \frac{3}{5}$ pounds and costs $7.56. To find the unit rate, we divide the cost by the number of pounds: $$7.56
divide 4\frac{3}{5} = 7.56
divide 4.6 = 1.64347826087 \approx 1.64$$. So, the unit rate for yarn is approximately $1.64 per pound.
4. Calculating Ribbon Unit Rate
Now, let's calculate the unit rate for the ribbon. We have $6 \frac{1}{2}$ yards of ribbon that cost $8.22. To find the unit rate, we divide the cost by the number of yards: $$8.22
divide 6\frac{1}{2} = 8.22
divide 6.5 = 1.26461538462 \approx 1.26$$. So, the unit rate for ribbon is approximately $1.26 per yard.
5. Calculating Cheese Unit Rate
Finally, let's calculate the unit rate for the block of cheese. The block contains $10 \frac{1}{3}$ ounces and costs $5.74. To find the unit rate, we divide the cost by the number of ounces: $$5.74
divide 10\frac{1}{3} = 5.74
divide 10.3333333333 = 0.55542168675 \approx 0.56$$. So, the unit rate for cheese is approximately $0.56 per ounce.
6. Final Answer
Therefore, the unit rates for each item, rounded to the nearest cent, are:
- Water: $0.17 per fluid ounce
- Yarn: $1.64 per pound
- Ribbon: $1.26 per yard
- Cheese: $0.56 per ounce
### Examples
Understanding unit rates is incredibly useful in everyday life. For example, when you're grocery shopping, comparing the unit prices of different-sized items helps you determine which option gives you the most product for your money. This skill is also valuable when comparing prices from different stores or online retailers, ensuring you make informed purchasing decisions and save money.
