Question

Use the data in the table to identify the speed of a moving object, Object A.
x y
4 1
8 2
12 3
16 4


Use the

to identify the speed of another moving object, Object B.

Compare the speeds of Object A and Object B. Which of the two moving objects has greater speed and by what factor? (round to nearest hundredth)

Hint: The factor is equivalent to the ratio of the faster speed to the slower speed.

Responses
A Object A is moving faster by a factor of 1.05Object A is moving faster by a factor of 1.05
B Object B is moving faster by a factor of 1.05Object B is moving faster by a factor of 1.05
C Object A is moving faster by a factor of 1.25Object A is moving faster by a factor of 1.25
D Object B is moving faster by a factor of 1.25Object B is moving faster by a factor of 1.25

Answer 1

From the table, Object A has constant rate Δy/Δx = (4−1)/(16−4) = 3/12 = 0.25 (units of y per unit x).

Using the given information for Object B (which gives B’s speed as 0.3125), the ratio of faster to slower is 0.3125 / 0.25 = 1.25.

So Object B is moving faster by a factor of 1.25. Answer: D.