Proportional Relationships and Graphing

Identify the constant of proportionality.

• k = 6

• k = 12

• k = 1/6

• k = 1/12

The constant of proportionality of this graph is k = 45. What does it mean?

• The boat travels for 45 miles for every 45 hours

• The boat travels 1 mile for every 45 hours

• The boat travels 45 miles for every 1 hour

• The boat travels 1/45 mile for every 1 hour

Janice is looking into joining a gym for one year. Best Gym costs $30 a month and has a one time membership fee of $100. Get In Shape charges $50 a month. The graph shows the equations for both lines. What is true about the graph? Choose all that apply.

• At 5 months, both gyms have cost $250

• Get In Shape is the better buy if she stays for the whole year.

• Best Gym is the better buy if she stays for the whole year.

• If she decides to leave the gym at 3 months, Best Gym is the better buy.

What is the constant of proportionality for the following graph?

• 80

• 20

• 40

• 160

The Bountiful Harvest Festival awarded Kimberly and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes.

It takes Kimberly 4 minutes to peel each potato.

There is a proportional relationship between the number Kimberly peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y.

Graph this relationship.

Select two points to draw a line.

The Bountiful Harvest Festival awarded Kimberly and her dad first prize for their garlic fries last year, so they're making them again this year. The key to their success is using fresh potatoes. It takes Kimberly 4 minutes to peel each potato.

There is a proportional relationship between the number of potatoes Kimberly peels, x, and the amount of time (in minutes) it takes to peel that many potatoes, y.

Graph this relationship. Select two points to draw a line.

Which of the following statements can be used to create the graph shown?

• For every 5 hours of work you get $6

• For every 24 hours of work you get $10

• For every 36 hours of work you get $50

• For every 6 hours of work you get $5

Graph the equation

y=3x

Graph the equation

y=3/5x