Linear Relationships

The graph shows the relationship between the amount of money in Sarah's savings account over a period of time. Which of the following statements is NOT TRUE about the relationship?

• After 5 weeks, Sarah has $100 in her account.

• If Sarah has a balance of $60, then 7 weeks have passed.

• The relationship is proportional.

• The situation can be represented by the equation y = 200 - 20x.

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

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

• y = 3x

• y = 0.5x + 3

• y = 0.5x - 3

• y = 3x - 0.5

The graph shows the relationship between the number of times a gear can rotate in a period of time. Which of the following statements is true?

• If the gear rotates 30 times, then it has been rotating for 1.5 minutes (90 seconds).

• The graph satisfies the equation y = 10x.

• If the machine rotates for 10 minutes, then it will make 250 rotations.

• The relationship is non-proportional.

Which of the following tables best represents the relationship between x and y in the below equation?

y = 0.5x + 7

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Which situation best represents the equation below?

• Each year, the Five Oceans' sea levels each increase by 2.5 feet.

• Two cartons of eggs ring up at the register for $2.50.

• A bank account is opened with a balance of $5, and $2.50 is deposited each day.

• Michelle walks to the store at a pace of 2.5 miles per hour.

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

Which equation matches the graph?

• y = 1/3x + 3

• y = 3x

• y = x +3

• y = 3x + 3

Which equation matches the table?

• y =4 x + 7

• y = 1/4x +11

• y = 4x -11

• y = 11x + 4

What is the rate of change for the following graph?

• 80

• 20

• 40

• 160