Miguel bikes 23 km per hour and starts at mile 10. Gabby bikes 28 km per hour and starts at mile 0. Which system of linear equat
ions represents this situation? A. Miguel: d = 10t + 23
Gabby: 28d = t
B. Miguel: d = 10t + 23
Gabby: d = 28t
C. Gabby: d = 23t + 10
Miguel: d = 28t
D. Miguel: d = 23t + 10
Gabby: d = 28t
The correct answer is D) Miguel: d=23t+10, Gabby d=28t
We multiply the speed of each person by t, the amount of time. This is where the 23t in Miguel's equation and the 28t in Gabby's equation come from. The starting point is added to this, which leads to 23t+10 and 28t+0 or 28t.