Lesson 16: Two Related Quantities (Part 1) | Unit 6: Expressions and Equations

Multiple Choice

Which pair of numbers represents the coordinates of a point on the graph?

• (3, 1)
• (4, 2)
• (6, 4)
• (1, 5)

Multiple Choice

What does the point $$(8,4)$$ mean in terms of the amount of flour and number of batches of modeling clay?

• 4 cups of flour for 8 batches of modeling clay.
• 8 cups of flour for 4 batches of modeling clay.
• 4 cups of flour for 6 batches of modeling clay.
• 2 cups of flour for 8 batches of modeling clay.

Multiple Choice

What is the equation that shows the amount of flour in terms of the number of batches?

• flour = 1.5 * batches
• flour = 2 * batches
• flour = batches + 1
• flour = 0.5 * batches

Multiple Choice

Every day a factory produces 90 cars. A worker at the factory wants to know how many cars are produced for different numbers of days. Which equation shows the number of cars, $$c$$ , depends on the number of days, $$n$$ ?

• c = 90 + n
• c = 90n
• c = n - 90
• c = 90n^2

Multiple Choice

Every day a factory produces 90 cars. A manager wants to know how many days it will take to produce a certain number of cars. Which equation shows the number of days, $$n$$ , depends on the number of cars, $$c$$ ?

• n = 90 - c
• n = c + 90
• n = c / 90
• n = c - 90

Draw

Kiran shops for books during a sale. All books are sold at 80% of their original price. Complete the table to show how much Kiran would pay for differently priced books during the sale.

Multiple Choice

Kiran shops for books during a sale. All books are sold at 80% of their original price.

What is the equation that relates the sale price, s, to the original price p?

• s = 0.8p
• s = 0.2p
• s = p - 0.8
• s = 1.2p

Draw

Kiran shops for books during a sale. All books are sold at 80% of their original price.

1. Complete the graph showing the relationship between the sale price and the original price by plotting the points from the table.

Open Ended

Elena donates some money to charity whenever she earns money as a math tutor. The table shows how much money she donates, $$d$$ , for different amounts of money that she earns, $$m$$ .
What percent of the money Elena earns does she donate to charity? Explain or show your reasoning.

Open Ended

Elena donates some money to charity whenever she earns money as a math tutor. The table shows how much money she donates, $$d$$ , for different amounts of money that she earns, $$m$$ .
Which quantity, $$m$$ or $$d$$ , would be the better choice for the dependent variable in an equation describing the relationship between $$m$$ and $$d$$ ? Explain your reasoning.