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A graph shows the number of push-ups Angel did each day for a week. Analyze the graph to answer the following: a) On which day did Angel do the fewest push-ups? b) On which day did Angel do the most p

Mathematics

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Step-by-step solution

5 steps

5.4.1

  1. Examine the graph to find the lowest point.

    The lowest point on the graph occurs on Monday, where the number of push-ups is approximately 20.
    The day with the least number of push-ups is Monday\boxed{\text{Monday}}.

    5.4.2

  2. Examine the graph to find the highest point.

    The highest point on the graph occurs on Thursday, where the number of push-ups is approximately 50.
    The day with the highest number of push-ups is Thursday\boxed{\text{Thursday}}.

    5.4.3

  3. Estimate the number of push-ups for each day from the graph.

    • Monday: 20 push-ups
    • Tuesday: 30 push-ups
    • Wednesday: 40 push-ups
    • Thursday: 50 push-ups
    • Friday: 25 push-ups
    • Saturday: 25 push-ups
    • Sunday: 30 push-ups
  4. Sum the estimated push-ups for all days.

    Total push-ups=20+30+40+50+25+25+30\text{Total push-ups} = 20 + 30 + 40 + 50 + 25 + 25 + 30 Total push-ups=220\text{Total push-ups} = 220

    The total number of push-ups Angel did for the week is 220\boxed{\text{220}}.

    5.4.4

  5. Observe the shape of the graph.

    A linear graph is represented by a single straight line. This graph consists of multiple connected line segments that change direction, indicating varying rates of change.
    The graph is non-linear\boxed{\text{non-linear}}.

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