Relationships between Quantities


Activity #1

 Complete a Table of Linear Relationship.

A movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag.

  • Complete one column of the table with prices where popcorn is priced at a constant rate. That is, the amount of popcorn is proportional to the price of the bag.
  • Then complete the other column with realistic example prices where the amount of popcorn and price of the bag are not in proportion.

Activity #2

 Establish Relationship Between two Quantities by Solving Problems.

  • For the first problem given in the applet below, check the box, “SHOW MATHEMATICAL THINKING”, to see the three different ways to solve problems involving relationship between two quantities.
  • Check out the three methods to see which is preferred.
  • Try to attempt solving subsequent questions before checking the box to see how you did.

Activity #3

 Find Other Pair of Points in a Linear Relationship.

A straight line representing the relationship between two quantities has been drawn in the applet below for you. In this activity, you are required to look for another pair of values that will satisfy this relationship.

  • Start by checking the “show grid” box.
  • Then check one the two boxes to enter values for x or y.
  • Enter a value and press the Enter key on your keyboard. A point is plotted on the line with the corresponding coordinate.
  • Try to alternate your choice of x or y.
  • To draw a different line, move the point on the line to a different location and repeat the steps above.

Challenge #1

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

(1). Is the relationship between number of turkey subs delivered and amount charged proportional? Explain how you know.

(2). How much does the store charge for 1 additional turkey sub?

(3)Describe a rule for determining how much the store charges based on the number of turkey subs delivered.

Challenge #2

What are the missing operations in the table below?

Challenge #3

In football, the team that has the ball has four chances to gain at least ten yards. If they don’t gain at least ten yards, the other team gets the ball. Positive numbers represent a gain and negative numbers represent a loss.

Quiz Time