QUICK CHECK - Linear Relationships

Luis' parents give him x dollars for his monthly allowance. Each month, he must pay $35 for his cell phone. One-sixth of the remaining money can be spent on entertainment. Which function can be used to find the amount in dollars Luis can spend on entertainment?

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

• y = 1/12x + 27

• y = 27x − 12

• y = −12x + 27

• y = 12x + 27

• (−2, 3)

• (−8, 0)

• (2, 7)

• (0, −1)

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 minute.

• They can assemble 8 1/3 tamales per minute.

• The initial number of tamales assembled was 0.

• It takes them 3 minutes 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

Renee is buying Halloween candy. She wants to buy candy bars and lollipops and spend no more than $28. Each candy bar costs $0.45 and each lollipop costs $0.25. Which inequality represents the possible combinations of x, the number of candy bars, and y, the number of lollipops Renee can buy?

• 0.25x + 0.45y < 28

• 0.45x + 0.25y ≥ 28

• 0.45x + 0.25y ≤ 28

• 0.45x + 0.25y < 28

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

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• 
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Mrs. Ratcliff asked her class to draw a linear function f that passes through the point (-1, -8) and has a slope of 4. What is the zero of f?

• 1

• -4

• 5

• 0

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 below 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 rate of change of the weight of the rabbit in pounds per week? Record your answer and fill in the bubbles on the grid.

(a)