# Lesson 1

Relationships between Quantities

Let’s try to solve some new kinds of problems.

### Problem 1

A sandwich store charges $20 to have 3 turkey subs delivered and $26 to have 4 delivered.

- Is the relationship between number of turkey subs delivered and amount charged proportional? Explain how you know.
- How much does the store charge for 1 additional turkey sub?
- Describe a rule for determining how much the store charges based on the number of turkey subs delivered.

### Problem 2

Which question cannot be answered by the solution to the equation \(3x=27\)?

Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?

Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?

Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?

The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?

### Problem 3

The area of the Mojave desert is 25,000 square miles. A scale drawing of the Mojave desert has an area of 10 square inches. What is the scale of the map?

### Problem 4

Each picture shows two polygons, one labeled Polygon A and one labeled Polygon B. Describe how to move Polygon A into the position of Polygon B using a transformation.