IM 7.6.1 Practice: Relationships between Quantities

Lin and Tyler are drawing circles. Tyler's circle has twice the diameter of Lin’s circle. Tyler thinks that his circle will have twice the area of Lin’s circle as well. Do you agree with Tyler?

Jada and Priya are trying to solve the equation .

• Jada says, “I think we should multiply each side by  because that is the reciprocal of .”
• Priya says, “I think we should add  to each side because that is the opposite of .”

Write an equation that can be solved using the other person’s strategy.

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. Select all of the sequences of four plays that result in the team getting to keep the ball.

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.

Which question cannot be answered by the solution to the equation ?