Ratio Rates and Constant of Proportionality

Janet used 155 beads to create 5 necklaces.  What is the constant of proportionality?  (How many beads did she use to make each necklace?)

• 31

• 51

• 33

Does this graph show a proportional relationship?

• yes

• no

• you cannot tell

There are 10 dimes, 8 quarters, and 5 nickels?  What is the ratio of dimes to nickels?

• 10 to 5

• 5 : 10

• 1 : 2

• 2 to 1

There are 10 dimes, 8 quarters, and 5 nickels?  What is the ratio of nickels to dimes and quarters?

• 5 : 8

• 5 to 18

• 1 : 2

• 4 to 5

There is a proportional relationship between the time (in days) Layla spends making porch swings, x, and the number of swings she builds, y.

What is the constant of proportionality? Remember: k=y/x

• k = 1/5

• k = 5

• k = 3

• k = 1/3

Identify the constant of proportionality.

• k = 2x

• k = 2

• k = 4

• none

The table below lists speeds in both miles per hour (mph) and kilometers per hour (kph). There is a proportional relationship between mph and kph. What is the constant of proportionality between the mph and kph?

• 16.6

• 1.5

• 1.609

• 1.743

Mikey is swimming a relay race. Here are his stats:

50 meters in 10 seconds150 meters in 30 seconds300 meters in 60 seconds

Is this a proportional relationship? If so, find the constant of proportionality?

• Not a proportional relationship; no constant

• It is a proportional relationship; no constant

• It is a proportional relationship; the constant is 5 meters every 1 second.

• Not a proportional relationship; the constant is 50 meters every 10 seconds.

Identify the constant of proportionality

• k = 1/90

• k = 1/30

• k = 90

• k = 30

What is the constant of proportionality?

• $3

• $4

• $2

• $9