Graph the line that represents a proportional relationship between d dd and t tt with the property that an increase of 0.2 point, 2 units in t corresponds to an increase of 1.8, point, 8 units in d.

what is the unit rate of change of d dd with respect to t ? (that is, a change of 1 unit in t will correspond to a change of how many units in d ?

the unit rate of change is

Part a) The graph in the attached figure

Part b) The units rate of change is 9

Step-by-step explanation:

we know that

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form or

step 1

Find the constant of proportionality k

For

substitute

the linear equation is equal to

using a graphing tool

see the attached figure

step 2

Find the unit rate

we know that

In a proportional relationship the constant of proportionality k is equal to the unit rate of change or slope m of the line, because the line passes through the origin

so

The units rate of change is 9

That means------> A change of 1 unit in t correspond to a change of 9 units in d

see the attached figure to better understand the problem

ok thats very interesting

should have been evaluated with one odd value and one even value. the expressions have equivalent values when . when , the first expression has a value of 3 and the second

step-by-step explanation: