Table to Equations and Graphs

5. The total number of eggs, y, contained in x cartons can be represented by the equation y = 12x. Which of the following graphs best represents this situation?

• 
• 
• 
• 

Which of the following equations best represents the relationship between x and y?

• 
• 
• 
• 

Marcy has earned 18 rewards points at the movie theater and will earn 3 points for each additional movie. Which equation represents the relationship between y, the total points, and x the number of movies?

• y = 18 + 3x

• y = 3x – 18

• y = 18 – 3x

• y = 18x + 3

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

• The cost of buying x number of concert tickets for $76 each.

• The number of pages y that can be read in 76 minutes.

• The number of gallons of fuel x that can be used to travel 228 miles.

• The amount of money spent from a savings account with y dollars.

Which graph best represents the equation y = 1.5x - 2?

• 
• 
• 
• 

What is the constant of proportionality between the number of pages read and the number of hours spent reading?

• 45 pages per hour

• 90 pages per hour

• 135 pages per hour

• 270 pages per hour

A student spends the same amount each week for bus fare. In 5 weeks, he spends $115. Which equation shows this relationship? Let x = number of weeks.

• y = 3.22x

• y = 5x

• y = 23x

• y = 115x

If a line was drawn through the points, why would this line show a proportional relationship?

• It is not curved

• It is a vertical line

• It connects all the dots

• It goes through the origin

What is the constant of proportionality for the relationship on the graph?

• 3.5

• 7

• 8

• 28

Which equation matches the graph?

• y = 1/3x + 3

• y = 3x

• y = x +3

• y = 3x + 3