Lesson 6
Interpreting Rates
Let’s explore unit rates.
Problem 1
A pink paint mixture uses 4 cups of white paint for every 3 cups of red paint. The table shows different quantities of red and white paint for the same shade of pink. Complete the table.
| white paint (cups) | red paint (cups) |
|---|---|
| 4 | 3 |
| 1 | |
| 1 | |
| 4 | |
| 5 |
Problem 2
A farm lets you pick 3 pints of raspberries for $12.00.
- What is the cost per pint?
- How many pints do you get per dollar?
- At this rate, how many pints can you afford for $20.00?
- At this rate, how much will 8 pints of raspberries cost?
Problem 3
Han and Tyler are following a polenta recipe that uses 5 cups of water for every 2 cups of cornmeal.
- Han says, “I am using 3 cups of water. I will need \(1\frac15\) cups of cornmeal.”
- Tyler says, “I am using 3 cups of cornmeal. I will need \(7\frac12\) cups of water.”
Do you agree with either of them? Explain your reasoning.
Problem 4
A large art project requires enough paint to cover 1,750 square feet. Each gallon of paint can cover 350 square feet. Each square foot requires \(\frac{1}{350}\) of a gallon of paint.
Andre thinks he should use the rate \(\frac{1}{350}\) gallons of paint per square foot to find how much paint they need. Do you agree with Andre? Explain or show your reasoning.
Problem 5
Andre types 208 words in 4 minutes. Noah types 342 words in 6 minutes. Who types faster? Explain your reasoning.
Problem 6
A corn vendor at a farmer's market was selling a bag of 8 ears of corn for $2.56. Another vendor was selling a bag of 12 for $4.32. Which bag is the better deal? Explain or show your reasoning.
Problem 7
A soccer field is 100 meters long. What could be its length in yards?
33.3
91
100
109