Graph the line that represents a proportional relationship between d and t with the property that an increase of 5 units in t corresponds to an increase of 2 units in d. what is the unit rate of change of d with respect to t? (that is, a change of 1unit in t will correspond to change how many units in d? )

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

i can

step-by-step explanation:

24

step-by-step explanation: