Lesson 22, Session 3: Analyze Equations with Two Variables

What is this problem about?

Restate it in your OWN words.

How does the number of pakoras in a party pack change when the number

of samosas in the pack increases by 1?

The equation y = x + 8 represents the length, y, in inches of a sleeping bag for a

person who is x inches tall. Which ordered pair belongs on a graph of y = x + 8?

• (72, 68)

• (78, 70)

• (72, 80)

• (74, 66)

The equation w = 20n models the total weight of honey, w,

in pounds that a beekeeper expects to collect from n hives.

a. Graph the relationship modeled by the equation. Include a title on each axis.

Which order pairs would be on the graph?

• (1, 20)

• (40, 2)

• (3, 60)

• (80, 4)

The equation w = 20n models the total weight of honey, w, in pounds that a

beekeeper expects to collect from n hives.

b. How does the graph show the expected rate of pounds of honey per hive?

How is this rate related to the equation?

The equation w = 20n models the total weight of honey, w, in pounds

that a beekeeper expects to collect from n hives.

c. How many pounds of honey can the beekeeper expect to collect from 6 hives? Show your work.

• 100 pounds
• 80 pounds
• 150 pounds
• 120 pounds

​ An online company sells watches with different prices. The ordering system uses the equation c = p + 7.50 to determine the total cost, c, including shipping for a watch with a price of p dollars. Identify the independent variable and
the dependent variable.

The ​ (a)   is the ​ (b)   variable and the ​ (c)   is the ​ (d)   variable.

• independent
• dependent
• price
• total cost
• dependent, independent, cost, price
• total cost, price, shipping, independent
• price, total cost, variable, equation

An online company sells watches with different prices. The ordering system uses the equation
c = p + 7.50 to determine the total cost, c, including shipping for a watch with a price of

p dollars.

Use the equation to complete the table.

a

b

c

d

28.00

21.50

28.50

19.00

An online company sells watches with different prices. The ordering system uses the equation

c = p + 7.50 to determine the total cost, c, including shipping for a watch with a price of p dollars.

How does the total cost change when
the price of a watch decreases by $1?
Show your work.

• The total cost decreases by $1.
• The total cost remains unchanged.
• The total cost increases by $1.
• The total cost decreases by $2.