Please help me with a graph of 15:45 to 17:45

Mathematics

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Answer

2 hours2 \text{ hours}

here's how to draw the number line for the duration from 15:45 to 17:45.

1. Calculate the duration:

  • From 15:45 to 16:00 is 15 minutes.
  • From 16:00 to 17:00 is 1 hour.
  • From 17:00 to 17:45 is 45 minutes.
  • Total duration: 15 minutes+1 hour+45 minutes=1 hour 60 minutes=2 hours15 \text{ minutes} + 1 \text{ hour} + 45 \text{ minutes} = 1 \text{ hour } 60 \text{ minutes} = 2 \text{ hours}.

2. Draw the number line:

  • Step 1: Draw a straight line with arrows on both ends.
  • Step 2: Mark a point on the left side of the line and label it 15:4515:45. This is your starting time.
  • Step 3: Draw a jump of +15 minutes+15 \text{ minutes} from 15:4515:45 to 16:0016:00. Label 16:0016:00.
  • Step 4: Draw a jump of +1 hour+1 \text{ hour} from 16:0016:00 to 17:0017:00. Label 17:0017:00.
  • Step 5: Draw a jump of +45 minutes+45 \text{ minutes} from 17:0017:00 to 17:4517:45. Label 17:4517:45. This is your ending time.
  • Step 6: Indicate the total duration above the number line as 2 hours\boxed{2 \text{ hours}}.

Here's a visual representation of the steps:

Start: 15:45→+15 min16:00→+1 hour17:00→+45 min17:45 :End\text{Start: } 15:45 \xrightarrow{+15 \text{ min}} 16:00 \xrightarrow{+1 \text{ hour}} 17:00 \xrightarrow{+45 \text{ min}} 17:45 \text{ :End}
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