Constant of Proportionality from a Table

Which best describes the graph represented in this table?

•  proportional

• non-proportional

There is a proportional relationship between the amount of pecans (in cups) Denelle's grandfather uses, x, and the number of pralines he makes, y. What is the constant of proportionality?

• 1/5 pralines per cup of pecans

• 5 pralines per cup of pecans

Over the summer, Greenwood Science Academy renovates its building. The academy's principal hires Martha to lay new tile in the main hallway. What is the constant of proportionality?

• 3 feet per tile

• 3 tiles per foot

• 1/3 feet per tile

• 1/3 tiles per foot

A mysterious flying superhero known as Blue Sky protects the good citizens of Belleville. Unknown to these citizens, Blue Sky is actually mild-mannered Richard, a scientist in a flying suit. Before Richard can fly in the suit, he needs to charge its battery. What is the C.O.P.?

• 2 hours charged per flight hour

• 2 flight hours per hours charged

• 1/2 hours charged per flight hour

• 1/2 flight hours per hours charged

Suzie is starting a summer camp for children with hearing impairments. She needs to hire enough counselors to chaperone the children. What is the C.O.P.?

• 1/4 children per counselor

• 1/4 counselors per children

• 4 children per counselor

• 4 counselors per children

Every month, Midtown Grocery Store donates 8-ounce cans of vegetables to a food bank. The food bank's volunteers fill bags with these cans and deliver the bags to families in need. What is the C.O.P.?

• 1/6 cans per bag

• 1/6 bag per can

• 6 cans per bag

• 6 bags per can

During hockey season, Spencer stays in excellent shape. To keep up his conditioning in the off season, he swims every day. Spencer uses an app on his smartwatch to keep track of how many calories he burns while swimming. What is the C.O.P.?

• 1/12 minutes per calorie

• 12 minutes per calorie

• 12 calories per minute

• 1/12 calories per minute

The constant of proportionality can be found by finding the __________  _____________.

• unit rate

• ratio rate

• proportion answer

• rational number

Find what is missing

• a = 11 b = 6

• a = 4 b = 20

• a = 4 b = 1

• a = 12 b = 4

The constant of proportionality can also be called the...

• Equation of a proportional relationship

• Unit Rate

• Origin

• Y-intercept