Final answer:
The equation that relates the time Mai bikes in minutes (t) to the distance traveled in meters (d) is d = 250t, where Mai bikes at a constant speed of 250 meters per minute.
Step-by-step explanation:
To write an equation for Mai that relates the time in minutes (t) to the distance in meters (d) she travels, we will use the information provided:
- Mai lives 8,000 meters from the park.
- Mai bikes at a constant speed of 250 meters per minute.
Since Mai bikes at a constant speed, the distance traveled is directly proportional to the time spent biking. The equation that relates time to distance is:
d = 250t
This equation means that for every minute Mai bikes, she travels 250 meters. To find out how long it takes her to reach the park, you simply divide the total distance to the park by her speed:
t = 8000 / 250 which equals 32 minutes.