Form 10: Comparing Rates of Change Exercise

Form 10: Comparing Rates of Change

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Form 10: Comparing Rates of Change

Compare different rates of change across multiple linear representations. Determine which scenario changes faster or slower by analyzing slopes.

Questions

  1. MultiChoice

    Line A is steeper than Line B on the same coordinate axes. Which statement about their rates of change is correct?

  2. MultiChoice

    Line 1 has slope m = 3. Line 2 has slope m = 5. Which line represents a faster rate of change?

  3. MultiChoice

    Line R has slope -4. Line S has slope -2. Which line is decreasing at a faster rate?

  4. MultiChoice

    Vehicle A graph passes through (2, 80). Vehicle B graph passes through (3, 90). Which vehicle has a higher rate of speed?

  5. MultiChoice

    Store A sells apples at $1.50/lb (slope = 1.5). Store B graph goes through (4, 7). Which store has a higher price per pound?

  6. MultiChoice

    If two lines on a graph have the exact same slope, what relationship do they have?

  7. MultiChoice

    Runner 1 covers 100m in 12s. Runner 2 covers 100m in 15s. Whose distance-time line has a steeper slope?

  8. MultiChoice

    Graph X has equation y = 4x. Graph Y goes through (1, 6). Which graph has the larger slope?

  9. MultiChoice

    How can you compare the unit rates of two linear graphs?

  10. MultiChoice

    Tank A water level graph has slope -5. Tank B water level graph has slope -3. Which tank is losing water faster?

  11. MultiChoice

    Line 1 has slope 7.5 and Line 2 has slope 5.0. What is the difference between their rates of change?

  12. MultiChoice

    If a horizontal line is compared to a rising line, what is the rate of change of the horizontal line?