Model Linear Relationships

The graph of a linear function passes through the points (-1, -1/4) and (1, 3/4). Which equation represents the function?

• y = 1/2x - 1/4

• y = 1/2x + 1/4

• y = 1/4x - 1/2

• y = 1/4x + 1/2

A coach is ordering shirts for a team. - The coach pays a one-time fee of $24. - The coach also pays $8 for each shirt ordered. Which function can be used to find c, the total amount the coach pays in dollars when k shirts are ordered?

• c = 8k + 32

• c = 8k + 24

• c = 32k + 8

• c = 24k + 8

Which function is best represented by this graph?

• y = 4x - 2

• y = 4x + 8

The graph shows the relationship between the cost of some pecans and the weight of the pecans in pounds. Which function best represents the relationship shown in the graph?

• y = 5x

• y = (1/5)x

• y = 2x

• y = (1/2)x

Melissa is saving $25 that she earned for washing her mom’s car. She earns $10 every week for doing chores, which she also saves. Which function can be used to find t, the amount of money Melissa will have saved at the end of n weeks of doing chores?

• t = 10n + 25

• t = 25n + 10

• t = 35n

• t = 15n

Which function is best represented by this graph?

• y = -2x + 3

• y = 2x + 6

Tags

TEKS.MATH.A.2C

Frankie bought a new computer. He made an initial payment of $50 to the store, and he will pay $30 each month until the computer is paid off. Which equation represents the relationship between m, the number of monthly payments Frankie has made, and t, the total amount that Frankie has paid the store?

• t = 50m + 30

• t = 30m - 50

• t = 50m - 30

• t = 30m + 50

Which equation can be used to describe the relationship between x and y shown in the graph below?

• y = 3x + 2

• y = -3x - 6

• y = 3x - 6

• y = -3x + 2

Find the rate of change:

• 2

• 0

• 1

• There is no constant rate of change

Does this graph show a linear relationship?

• Yes, it is a straight line with a constant rate of change

• No, it starts at (0, 0)

• No, it needs more detail on the x-axis