To represent the situation with a system of linear equations, we want to express the distance \( d \) that each biker travels as a function of time \( t \).
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John's equation: John bikes at a speed of 22 km/h and starts at mile 10. The distance he travels over time \( t \) can be represented as: \[ d = 22t + 10 \] where \( t \) is in hours and \( d \) is in miles.
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Gwyn's equation: Gwyn bikes at a speed of 28 km/h and starts at mile 0. The distance she travels over time \( t \) can be represented as: \[ d = 28t \] where \( t \) is in hours and \( d \) is in miles.
Therefore, the correct system of equations to represent this situation is:
- John: \( d = 22t + 10 \)
- Gwyn: \( d = 28t \)
So the option that represents this situation is: John: d = 22t + 10, Gwyn: d = 28t.
3 answers