Question

raph the line that represents a proportional relationship between d and t with the property that an increase of 0.2 units in t corresponds to an increase of 1.8 units in d. What is the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many units in d?

Answer 1

The unit rate is 9, and the graph is in the image at the end.

What is the unit rate of change of d with respect to t?

A general proportional equation is written as:

d = k*t

Where k is the constant of proportionality or the unit rate.

Here we know that when t = 0.2, d = 1.8

Then we can write:

1.8 = k*0.2

1.8/0.2 = k

9 = k

So the proportional relation is:

d = 9*t