Constant Rate of Change/Constant of Proportionality

What is the formula for Constant of Proportionality?

• y = k + x

• y = k - x

• y = kx

• x = ky

At a school carnival, tickets can be purchased to participate in different activities. The table shows the cost of different numbers of tickets. What is the constant of proportionality that relates y, the total cost in dollars to x, the number of tickets purchased?

• $4.00

• $0.25

• $1.00

• $0.10

An online game increases in number of users at a rate of 500 users each day. Which graph represents the relationship between y, the number of users, and x, the number of days?

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Cheddar Cheese cost $4.25 per pound. Which equation best represents y, the total cost of x pounds of cheddar cheese?

• x = 4.25y

• y = 4.25x

• y = 4.25 - x

• y = 4.25 + x

How can you find the constant of proportionality?

• k = y/x

• k = x/y

• E=mc²

• y = kx

Which function type has a constant rate of change?

• Linear

• Exponential

• Neither

• Both

What is the constant rate of change between the quantities in the table?

• $1 per hour

• $40 per hour

• $5 per hour

• $10 per hour

A constant rate of change is represented by a

• linear line.

• line that goes up.

• line that goes down.

• horizontal line.

A mechanic performs oil changes on automobiles. The table shows linear relationships between the number of oil changes completed after different amounts of times.

Choose the correct answer from each drop-down box to complete the sentence.

The mechanic completes ​ ​ (a)   oil changes per hour, which represents the ​ (b)   ​ of the linear function

• 3

• rate of change

• 4.5

• y-intercept

Find the Constant Rate Of Change (CRC) for (3,7) and (11,23)

• 4

• 3

• 2

• 1