You ride your bike and measure how far you travel. after 10 minutes you travel 3.5 miles after30 minutes you travel 10.5 write an equation to model your distance how far can you ride your in 45minutes

Your position, x, has to be a function of your average speed and time (Distance = Rate x Time) Since 30 minutes you went 10.5 miles, then an hour means you must be 21 miles away. so you're going 21 mph. therefore, your distance, x = 21t where t is your time in hours.