Two bikers track how many miles they traveled for each hour they spent biking.
Biker A's distance traveled is shown in the graph above. Biker B's distance traveled is shown in the table above. Using the data above, which Biker can cycle faster? How fast were they traveling?
Biker A can cycle faster as their distance traveled increases steadily for each hour of biking, whereas Biker B's distance traveled varies for each hour.
To calculate how fast Biker A is traveling, we can find the slope of the line connecting the points (2, 10) and (6, 30):
m = (30 - 10) / (6 - 2) = 20 / 4 = 5
Therefore, Biker A is traveling at a speed of 5 miles per hour.
To calculate how fast Biker B is traveling, we can find the average speed by dividing the total distance traveled by the total time taken:
Total distance = 40 miles
Total time = 5 hours
Average speed = 40 miles / 5 hours = 8 miles per hour
Therefore, Biker A is faster than Biker B, with Biker A traveling at 5 miles per hour and Biker B traveling at 8 miles per hour.