Week 15~Math Bridges: Constant of Proportionality

For 1-4: Determine the constant of proportionality from the representation given.

k = _________.

• k = 0.25

• k = 0.5

• k = 2

• k = 4

For 1-4: Determine the constant of proportionality from the representation given.

There are 108 feet in 36 yards. What is the constant of proportionality that relates y, the number of yards to x, the number of feet?

• k = 108

• k = 3

• k = 36

• k = 1/3

For 1-4: Determine the constant of proportionality from the representation given.

Find the constant of proportionality k from the graph showing dollars earned vs. number of hours.

• k = 5

• k = 10

• k = 15

• k = 20

For 1-4: Determine the constant of proportionality from the representation given.

Find the constant of proportionality k from the graph showing total cost vs. number of gift cards.

• k = 5

• k = 20

• k = 35

• k = 50

Use the situation below to complete the table and answer questions 5-9.

A gym employee earns the same amount each month. After working for three months, he earned $4,500. Complete the table to determine how much money he will make over a five-month period. 5.

Is the relationship proportional? Explain your thinking.

• Yes, because the earnings increase at a constant rate each month.

• No, because the earnings do not increase at a constant rate each month.

• Yes, because the earnings decrease at a constant rate each month.

• No, because the earnings decrease at a constant rate each month.

Use the situation below to complete the table and answer questions 5-9.

A gym employee earns the same amount each month. After working for three months, he earned $4,500. Complete the table to determine how much money he will make over a five-month period.

What is the constant of proportionality?

• $1,000

• $1,500

• $2,000

• $2,500

Use the situation below to complete the table and answer questions 5-9.

A gym employee earns the same amount each month. After working for three months, he earned $4,500. Which equation represents this situation?

• y = 4500x

• y = 5x

• y = 1500x

• y = 10,500x

Use the situation below to complete the table and answer questions 5-9.

A gym employee earns the same amount each month. After working for three months, he earned $4,500. How much will he earn after working 7 months if his pay rate remains the same?

• $7,000

• $10,500

• $12,000

• $15,000

Use the situation below to complete the table and answer questions 5-9.

A gym employee earns the same amount each month. After working for three months, he earned $4,500. After how many months will the gym employee earn $15,000?

• 10 months

• 15 months

• 18 months

• 20 months