To complete the table with the given information:

• Mike ran 2 more miles than usual, so his distance is \(x + 2\) miles. His rate is 7 miles per hour.
• Breanna ran 1 more mile than usual, so her distance is \(x + 1\) miles. Her rate is 6 miles per hour.

Supplemental Knowledge

• In algebra, the relationship between distance, rate (speed), and time can be expressed with the formula:
  \[\text { Distance} = \text { Rate} \times \text { Time} \]
  For this problem:
• Mike's usual running distance is \(x\) miles. Today, he ran 2 more miles than usual, so his distance is \(x + 2\) miles.
• Breanna's usual running distance is \(x\) miles. Today, she ran 1 more mile than usual, so her distance is \(x + 1\) miles.
  Their rates are given as:
• Mike: 7 miles per hour
• Breanna: 6 miles per hour

Theory in Practice

Imagine you and a friend are training together for a marathon; each aiming for different speeds and distances every day. Tracking progress involves understanding how changes to routine (such as adding extra miles or speed-changing) affect overall training time - this knowledge can help optimize schedule and maximize results.

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