Question

What is the unit rate of change of ddd with respect to ttt? (That is, a change of 111 unit in ttt will correspond to a change of how many units in ddd?)

Answer 1

Answer:

can you tell me what is ddd and ttt

Answer 2

Answer: 1.6 and (0, 0), (5, 8)

Step-by-step explanation:

Any proportional relationship in the variables d and t has the form d = kt, where k is called the proportionality constant. Since d = k when t = 1, k is also the unit rate. We know that the point (0, 0) lies on the line, because 0 = k ⋅ 0.

Let’s use the fact that an increase of 5 units in t corresponds to an increase of 8 units in d to find the unit rate of change of d with respect to t:

8/5 = 1 3/5 = 1.6

So the unit rate of change is 1.6 and the equation of the line representing this relationship is

d = 1.6t

If t = 5, then d = 1.6(5) = 8. So the point (5, 8) lies on the line. We can now graph the line connecting (0, 0) and (5, 8).

The unit rate of change of d with respect to t is 1.6.

hope this helps <3