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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