Finding Constant Ratio

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

Does the table show a proportional relationship? What is the equation?

• Yes, y = 6x

• No, this is not proportional

• Yes, y = 12x

What characteristic do you look for in the table in order to decide whether the relationship is proportional?

• The amount earned divided by the number of days is constant for each pair of values in the table.

• The amount of days that are worked go up to 5.

• The amount earned multiplied by the amount earned is constant for x and y.

For the equation: k=y/x, the variable k is called the...

• Constant, and it represents the constant rate of change or constant ratio between x and y

• Coefficient, and it represents the constant rate of change or constant ratio between x and y

• x factor, and it represents the constant rate of change or constant ratio between x and y

• y factor, and it represents the constant rate of change or constant ratio between x and y

Thomas' printer can print 225 sheets of paper in 5 minutes. What is the constant of proportionality for the number of sheets printed per minute?

• 8
• 2
• 128
• 4

Colin's salary is proportional to the number of hours he works. He earned $851 for 37 hours of work. Which of the following is the constant of proportionality?

• $23 per hour

• $19 per hour

• 4 hours per dollar

• 31487 hours per dollar

What number should go in the blank to make the ratios equivalent?

• 18

• 24

• 15

The constant of proportionality can be found by finding the ______ ______.

• unit rate

• ratio rate

• proportion answer

• rational number

Betty paid $11.25 for 3 kids meals when she went through the drive thru. What is the constant of proportionality for the cost of each meal?