Linear Functions Warm Up

The table represents some points on the graph of a linear function.

What function represents this relationship?

• y = -3/2x + 4

• y = -3/2x - 14

• y = -3/2x - 9

• y = -3/2x - 1

Printer ink costs $18.99 per cartridge. The company that sells the ink cartridges charges a flat rate shipping fee of $7.95, no matter the number of cartridges purchased in a single order. Which linear function models the total cost, t, for a single order of c cartridges?

• c = 26.94t

• c = 18.99t + 7.95

• t = 26.94c

• t = 18.99c + 7.95

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• y = -7/4x + 4

• y = -7/4x + 7

• y = -4/7x + 4

• y = -4/7x + 7

The conversion of degrees Celsius to degrees Fahrenheit can be represented by a linear relationship. The graph shows the linear relationship between y, the temperature in degrees Fahrenheit, and x, the temperature in degrees Celsius from the freezing point of water. Which equation best represents this situation?

• y = 5/9x

• y = 9/5x

• y = 5/9x + 32

• y = 9/5x + 32

The graph of a linear function is shown on the grid. Which function is best represented by this graph?

• g(x) = 6x + 4

• g(x) = 4x - 2

• g(x) = (3/2)x + 6

• g(x) = (-2/3)x + 4

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• y + 2 = (7/5)(x + 7)

• y - 2 = (7/5)(x - 7)

• y + 2 = (5/7)(x + 7)

• y - 2 = (5/7)(x - 7)

The table shows the amount of pet food in cups remaining in an automatic feeder as a function of the number of meals the feeder has dispensed.

• f(n) = -3n + 24

• f(n) = -1/3n + 16

• f(n) = -3n + 64

• f(n) = -1/3n + 8

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Which function shows the relationship between y, the total number of jars of tomato sauce remaining in the pantry, and x, the number of boxes in the pantry?

• y = 8x + 6

• y = 8x

• y = 8x - 2

• y = 6x

The graph of a linear function is shown on the grid. Which equation is best represented by this graph?

• y + 7 = -3(x - 4)

• y + 1 = -3(x + 2)

• y - 4 = 3(x + 7)

• y - 2 = 3(x - 1)

Researchers in Antarctica discovered a warm sea current under a glacier that is causing the glacier to melt. The ice shelf of the glacier had a thickness of approximately 450 m when it was first discovered. The thickness of the ice shelf is decreasing at an average rate of 0.06 m per day. Which function can be used to find the thickness of the ice shelf in meters x days since the discovery?

• t(x) = 450 - 0.06x

• t(x) = -0.06(x + 450)

• t(x) = 450 + 0.06x

• t(x) = 0.06(x + 450)