Question

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 equations represents this situation?

Gabby:d=23t+10
Miguel: d=28t

Miguel:d=23t+10
Gabby:d=28t

Miguel:2=10t+23
Gabby:d=28t

Miguel:d=10t+23
Gabby:28d=t

Answer 1

To properly set up the system of linear equations representing the situation between Miguel and Gabby, we need to consider their biking speeds and starting points.

1. **Miguel** bikes at 23 km/h and starts at a distance of 10 miles. Thus, his distance (d) over time (t) can be expressed as:
\[
d = 23t + 10
\]

2. **Gabby** bikes at 28 km/h and starts at a distance of 0 miles. Her distance over time can be expressed as:
\[
d = 28t
\]

Putting this together, the system of equations that represents Miguel and Gabby's distance in relation to time is:

- Miguel: \( d = 23t + 10 \)
- Gabby: \( d = 28t \)

So, the correct choice is:
**Miguel: \( d = 23t + 10 \) Gabby: \( d = 28t \)**.