x y
4 1
8 2
12 3
16 4
Compare the table of Object A and the equation y = 15
x of Object B. Which of the two moving objects has greater speed and by what factor? (round to nearest hundredth)
To determine the speed of each object, we need to calculate the ratio of the change in y (denoted as Δy) to the change in x (denoted as Δx).
For Object A:
Δy = 4 - 1 = 3
Δx = 16 - 4 = 12
For Object B:
Δy = 15 - 2 = 13
Δx = 8 - 4 = 4
Now we can calculate the speeds:
Speed of Object A = Δy/Δx = 3/12 = 0.25
Speed of Object B = Δy/Δx = 13/4 = 3.25
Comparing the speeds, we can see that Object B has a greater speed than Object A by a factor of 3.25/0.25 = 13.