Unit 5, Lesson 1
Proportional Relationships and Equations
Accelerated 6
Practice
Problem 1
A ceiling is made up of tiles. Every square meter of the ceiling requires 10.75 tiles. Fill in the table with the missing values.
| square meters of ceiling | number of tiles |
|---|---|
| 1 | |
| 10 | |
| 100 | |
Problem 2
On a flight from New York to London, an airplane travels at a constant speed. An equation relating the distance traveled in miles,
Problem 3
Each table represents a proportional relationship. For each, find the constant of proportionality, and write an equation that represents the relationship.
| 2 | 8 |
| 3 | 12 |
| 5 | 20 |
| 10 | 40 |
Constant of proportionality:
Equation:
| 2 | 6.28 |
| 3 | 9.42 |
| 5 | 15.7 |
| 10 | 31.4 |
Constant of proportionality:
Equation:
Diego bought 12 paint brushes for $4.20.
- At this rate, how much would Diego pay for 4 paint brushes?
- How many paint brushes could Diego buy with $3.00? Explain or show your reasoning. If you get stuck, consider using the table.
| number of paint brushes | price in dollars |
|---|---|
| 12 | 4.20 |
Problem 5
It takes