Quarter 3 Benchmark Review - Proportional Relationships

Which situation is best described by the graph shown?

• Leah buys movie tickets for $4.50 each.

• Zion purchases sodas for $3.00 each.

• Kayleigh pays $1.50 per candy bar.

• Sam pays $0.67 per print at the copy store.

Find the constant of proportionality in the graph below.

• 2

• 5

• 10

• 2.5

As the x-value increases by 10, the y-value increases by 15. Which of the following equations represents the relationship between the x and y-values?

• y = 5x

• y = 1.5x

• y = x + 5

• 3 laps

• 15 laps

• 5 laps

A musician projects that he will earn $400.00 for every 1,000 songs downloaded. Which of the following equations can be used to represent the proportional relationship between the number of songs, x, and the total earnings, y.

• y = 0.40x

• x = 0.40y

• y = 400x + 1,000

• y = 1,000x + 400

The table shows the relationship between x-values and y-values. Which of the following statements is true?

• The constant of proportionality is 3.

• The y-intercept is 8.

• The rate of change is 4.

• This is an example of a proportional relationship.

The graph below shows the relationship between the temperature in Des Moines, Iowa and the amount of time passed in hours. Which of the following statements is NOT true about the relationship?

• The relationship is non-proportional.

• After 6 hours, the temperature has dropped to 30°F.

• If the temperature is 20°F, then 8 hours have passed.

• The situation can be represented by the equation y = 5x + 60.

The table below shows the relationship between the number of days spent reading, x, and the number of chapters read, y. Which of the following equations best represents the relationship?

• y = 0.4x

• y = 4x

Which of the following does NOT represent the number of days in a week?

• 
• 
• y = 7x, where x represents the number of days and y represents the number of weeks

• There are 84 days in 12 weeks.