Proportional Relationships with Graphs, Tables, and Equations

Which of the following represents the constant of proportionality in the table?

• k = 85

• k = 95

• k = 190

• k = 125

The table below shows the relationship between the number of miles traveled, x, and the number of gallons of gas used, y. Which of the following equations best represents the relationship?

• 35 = 1x

• y = 35x

• y = 3.5x

Which of the following graphs does not represent a proportional relationship?

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• 
• 
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Is there a proportional relationship between x and y?

• YES

• NO

The graph shows the amount of money that Janice saves each week from her summer job. Which best represents the unit rate?

• (0 , 0)

• (1, 200)

• (200, 1)

• (2, 200)

The table represents some points on a linear function. Which situation can be modeled by this function?

• The cost of buying 1 pair of shoes for $84.

• The cost of using 1 gallon of gas for $76.

• The cost of buying 5 pairs of shoes for $76.

• The cost of purchasing 11 pairs of shoes for $228.

Jermaine plots the points (0, 0) and (4, 11) on a graph to represent a proportional relationship. Which of the following equations represents the relationship between the x and y-values?

What is the constant of proportionality?

Kenny is practicing for at typing test. The number of words he can type is proportional to the number of minutes he types. If Kenny types for 280 words, how many minutes did it take him?

Which of the following situations represents a proportional relationship?

• A pizza is $7.95 plus $1.00 for each topping

• A pool fills at a rate of 90 gallons per hour

• A health club charges a $40 membership fee plus $25 per month

• A bank account begins with $350 and gains $30 per month