Linear Relationships

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

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

• 4

• 10.75

• 11.75

• 12.75

• 12

• 13

• 14

• 18

What can you use to represent linear relationships?

• verbal descriptions

• equations

• graphs

• tables

• all of the above

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160

Jacob’s parents have allowed him to get a cell phone but he must pay his own cell phone bill. He pays a flat rate of $35 a month and 50¢ for every minute he talks on the phone. If c represents the total cost of the bill and m represents minutes talking on the phone, which equation best fits the situation?

• c = 5m + 35

• c = 3.5m + 50

• c = 0.5m + 35

• c = 35 + 100 + 0.5

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