Humphrey - A.2(C) Writing Linear Equations Given Various Representations

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

• 𝑨. 𝑦 = −2𝑥+4
• 𝑩. 𝑦 = 2𝑥+4
• 𝑪. 𝑦 = 4𝑥−2
• 𝑫. 𝑦 = 4𝑥+2

2. The table represents some points on the graph of the linear function 𝑓. Which function represents 𝑓?

• 𝑭. 𝑓(𝑥) = −14(𝑥−2)+4
• 𝑮. 𝑓(𝑥) = −10(𝑥−3)−10
• 𝑯. 𝑓(𝑥) = −10(𝑥−1)+18
• 𝑱. 𝑓(𝑥) = −14(𝑥+2)−60

3. The table shows the percentage of battery power remaining on a laptop as a function of the time the laptop is used. Based on the table, which function models this situation?

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4. The ozone layer protects life on Earth from harmful levels of UV rays from the sun. After recognizing the harmful effects of ozone-depleting substances, countries around the world agreed to phase out those substances. In 1990, global emissions of ozone-depleting substances were approximately 1.32 million tonnes. Until 2000, the amount of ozone-depleting substances was decreasing at an average rate of 0.076 million tonnes. Which function can be used to find the amount of ozone-depleting substances in million tonnes 𝑥 years since 1990?

• 𝑭. 𝑠(𝑥) = 0.076(𝑥−1.32)
• 𝑮. 𝑠(𝑥) = 1.32+0.076𝑥
• 𝑯. 𝑠(𝑥) = 1.32−0.076𝑥
• 𝑱. 𝑠(𝑥) = −0.076(𝑥−1.32)

5. The table represents some points on the graph of a linear function. Which equation represents the same relationship?

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

• 𝑭. 𝑦+9 = 2(𝑥−3)
• 𝑮. 𝑦+5 = 2(𝑥−1)
• 𝑯. 𝑦+3 = −2(𝑥−3)
• 𝑱. 𝑦+1 = −2(𝑥+1)

7. A lumber yard packages its contractor-grade 4" x 6" pieces of lumber in bundles of 12. From one of the bundles, only 5 of the 4" x 6" pieces of lumber pass quality control. All other bundles contain pieces that pass quality control. Which function shows the relationship between 𝑦, the total number of 4" x 6" pieces of lumber available at the lumber yard, and 𝑥, the number of complete bundles in the lumber yard?

• 𝑨. 𝑦 = 7𝑥−12
• 𝑩. 𝑦 = 7𝑥+12
• 𝑪. 𝑦 = 12𝑥−5
• 𝑫. 𝑦 = 12𝑥+5

8a. Enter your answer for 𝑚.

8b. Enter your answer for 𝑏.

9a. Enter your answer below.