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Grade 8 Algebra: Comparing Unit Rates: Tables, Equations and Points

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Level 3

Comparing rates in context

  1. 1. Which car is faster (x = hours, y = miles):
    A:y=55xB:(2,120), (5,300)\begin{array}{ll} \textbf{A:} & y = 55x \\[14pt] \textbf{B:} & (2, 120),\ (5, 300) \end{array}
  2. 2. Which worker earns more per hour (x = hours, y = dollars):
    A:y=14x+20B:x2468y306090120\begin{array}{ll} \textbf{A:} & y = 14x + 20 \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline y & 30 & 60 & 90 & 120 \end{array} \end{array}
  3. 3. Which plan costs less per GB (x = GB, y = dollars):
    A:(2,13), (6,25)B:y=3.5x+5\begin{array}{ll} \textbf{A:} & (2, 13),\ (6, 25) \\[14pt] \textbf{B:} & y = 3.5x + 5 \end{array}
  4. 4. Which tank drains faster (x = minutes, y = liters):
    A:y=−6x+90B:x051015y100755025\begin{array}{ll} \textbf{A:} & y = -6x + 90 \\[14pt] \textbf{B:} & \begin{array}{c|cccc} x & 0 & 5 & 10 & 15 \\ \hline y & 100 & 75 & 50 & 25 \end{array} \end{array}
  5. 5. Which printer is faster (x = minutes, y = pages):
    A:(3,45), (7,105)B:y=16x\begin{array}{ll} \textbf{A:} & (3, 45),\ (7, 105) \\[14pt] \textbf{B:} & y = 16x \end{array}
  6. 6. Which is the better buy (x = pounds, y = dollars):
    A:x2468y7142128B:(3,12), (5,20)\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 2 & 4 & 6 & 8 \\ \hline y & 7 & 14 & 21 & 28 \end{array} \\[14pt] \textbf{B:} & (3, 12),\ (5, 20) \end{array}
  7. 7. Which runner is faster (x = minutes, y = meters):
    A:x0246y04008001200B:(1,180), (4,720)\begin{array}{ll} \textbf{A:} & \begin{array}{c|cccc} x & 0 & 2 & 4 & 6 \\ \hline y & 0 & 400 & 800 & 1200 \end{array} \\[14pt] \textbf{B:} & (1, 180),\ (4, 720) \end{array}
  8. 8. Which candle burns faster (x = hours, y = cm tall):
    A:y=−1.5x+20B:(2,16), (6,8)\begin{array}{ll} \textbf{A:} & y = -1.5x + 20 \\[14pt] \textbf{B:} & (2, 16),\ (6, 8) \end{array}