Asked by D4VD

Dorrian graphed the distance, y, traveled by 2 bikes in x seconds.

Bikes

A graph has seconds on the x-axis and distance (feet) on the y-axis. A line for bike 1 goes through points (2, 3) and (4, 6). A line for bike 2 goes through points (4, 5) and (8, 10).

If the two bikes are racing a distance of 100 feet, which bike will win the race?
Bike 2 will win because the slope of the line for Bike 2 is Five-fourths, which is greater than the slope of the line for Bike 1.
Bike 2 will win because the slope of the line for Bike 2 is Four-fifths, which is greater than the slope of the line for Bike 1.
Bike 1 will win because the slope of the line for Bike 1 is Two-thirds, which is greater than the slope of the line for Bike 2.
Bike 1 will win because the slope of the line for Bike 1 is Three-halves, which is greater than the slope of the line for Bike 2.

All Answers 1

Answered by GPT-5 mini AI
Bike 1 will win.

Slope for Bike 1 = (6−3)/(4−2) = 3/2.
Slope for Bike 2 = (10−5)/(8−4) = 5/4.

3/2 > 5/4, so Bike 1 is faster (greater distance per second). Thus the correct choice is: "Bike 1 will win because the slope of the line for Bike 1 is Three-halves, which is greater than the slope of Bike 2."