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

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

Caroline's cell phone plan cost $32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months?

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A dolphin travels through the water at a speed of 25 kilometers per hour. Select two representations that show the distance a dolphin can travel at this rate.

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• y = x + 25

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• In 5 hours the dolphin can travel 125 kilometers.

Which of these does NOT represent the distance a car travels when going 55 miles per hour?

• y = 55 x

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• In 3 hours the car will travel a distance of of 160 miles.

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The graph represents the linear relationship between the number of books Layla has read and the number of months she has been a member of a book club. Which of these statements is supported by the rate of change of this relationship?

• Layla read 2 books in the first 3 months she was a member of the book club.

• Layla read 3 books in the first 2 months she was a member of the book club.

• Layla read 3 books in the first 4 months she was a member of the book club.

• Layla read 4 books in the first 3 months she was a member of the book club.

A rate is...

• Is a comparison of two quantities with a common denominator/unit.

• a ratio that compares two quantities of different units.

• a rate when the second quantity in the comparison ( aka the denominator ) is a unit of one.

• two ratios set equal to one another.

A unit rate is...

• Is a comparison of two quantities with a common denominator/unit.

• a ratio that compares two quantities of different units.

• a rate when the second quantity in the comparison ( aka the denominator ) is a unit of one.

• two ratios set equal to one another.

A proportion is...

• Is a comparison of two quantities with a common denominator/unit.

• a ratio that compares two quantities of different units.

• a rate when the second quantity in the comparison ( aka the denominator ) is a unit of one.

• two ratios set equal to one another.