Question

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

Answer 1

Answer:

unite rate is 1.6  the first point is (5,8)

Step-by-step explanation:

Answer 2

Answer:

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 $d/t=k$ or $d=kt$

step 1

Find the constant of proportionality k

For $t=0.2, d=1.8$

substitute

$k=d/t$

$k=1.8/0.2=9$

the linear equation is equal to

$d=9t$

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