In this resource, we will look more closely at one method for solving problems that involve proportional relationships—multiplication by a constant.
Read the following problem and answer the questions below. Record your answers on a separate piece of paper or using your notes.
A man is planning to grow chili peppers in his garden. He knows that each plant will produce eight chili peppers. He wants to know how many peppers he will grow based on the number of plants.
Copy the following table into your notes and fill in the missing information.
Plants

Process

Peppers

1

1(8)

8

2

2(8)

16

3



4



5



8



10



Click here to see the completed table.
1. What do all the expressions in the 'Process' column have in common?
2. Write a rule for determining the number of peppers, if you know the number of plants.
3. Now write your rule as an equation. Since both "peppers" and "plants" start with the letter p, you will have to use different letters for your variables. In your equation, use y for the number of peppers and x for the number of plants.