Final answer:
To find the average rate at which each person travels during the first 3 hours, divide the total distance traveled by each person by the time taken. To find the distance each person travels in 7 hours, multiply their average rates by 7. To graph the time and distance data for all three riders on the same coordinate axes for the first 10 hours, plot the time against the distance for each person. To find the distance each person travels in 6 hours and the time it takes each person to travel 70 miles, locate the points on the graph and read the corresponding values.
Step-by-step explanation:
To find the average rate at which each person travels during the first 3 hours, we need to divide the total distance traveled by each person by the time taken. Let's assume Person A traveled 50 miles, Person B traveled 70 miles, and Person C traveled 90 miles in the first 3 hours. The average rate for each person would be:
Person A: 50 miles / 3 hours = 16.67 miles per hour
Person B: 70 miles / 3 hours = 23.33 miles per hour
Person C: 90 miles / 3 hours = 30 miles per hour
To find the distance each person travels in 7 hours, we can multiply their average rates by 7:
Person A: 16.67 miles per hour * 7 hours = 116.69 miles
Person B: 23.33 miles per hour * 7 hours = 163.31 miles
Person C: 30 miles per hour * 7 hours = 210 miles
To graph the time and distance data for all three riders on the same coordinate axes for the first 10 hours, we can plot the time (x-axis) against the distance (y-axis) for each person. The graph will show how the distance traveled changes over time for each rider.
To find the distance each person travels in 6 hours using the graphs, we can locate the point on the graph where the time is 6 hours and read the corresponding distance.
To find the time it takes each person to travel 70 miles using the graphs, we can locate the point on the graph where the distance is 70 miles and read the corresponding time.