Linear Functions Quick Check

The table represents some points on the graph of a linear function. Which of the following equations represents the function?

• y = 27x - 12

• y = -12x + 27

• y = 12x + 27

Isabella and her aunts assemble tamales to sell at her uncle's restaurant. The graph shows the linear relationship between the number of minutes they have been working and the number of tamales they have assembled. Which of the following is a true statement about the graph?

• they can assemble 6.25 tamales per min

• they can assemble 8 1/3 tamales per min

• the number of tamales they started out with was 0

• it takes them 3 min to assemble 50 tamales

Which equation best represents the linear function shown on the graph?

• y + 3 = -3(x - 1)

• y - 3 = -3(x + 3)

• y = 3(x + 2)

• y = 3x - 6

Which graph represents the function 3x - 2y = 6?

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Jill and Joel wrote equations for the line passing through the points (2, -1) and (-1, 14). Which student is correct?

• Jill only

• Joel only

• Both Jill and Joel

• Neither student wrote a correct equation

The table shows the linear relationship between the number of weeks since birth and the weight of Samuel's pet rabbit. Based on the table, what is the average rate of change of the weight of the rabbit between weeks 4 and 7?

• 1.75

• 2

• 1.3

• 2.75