Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 0.20.20, point, 2 units in ttt corresponds to an increase of 1.81.81, point, 8 units in ddd. 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 d?d?d, question mark)

A relationship between two variables, t, and d, represent a proportional variation if it can be expressed in the form [tex]d/t=k[/tex] or [tex]d=kt[/tex]

step 1

Find the value of k

we have

[tex]t=0.2, d=1.8[/tex]

[tex]k=d/t[/tex]

substitute

[tex]k=\frac{1.8}{0.2}=9[/tex]

so

the linear equation is equal to

[tex]d=9t[/tex]

step 2

using a graphing tool

graph the line [tex]d=9t[/tex]

s28645141 s28645141 · Answer 2 · 2020-11-09T00:29:03+01:00

s28645141 s28645141

09-11-2020

Answer:

Part a) The unit rate of change of d with respect to t is equal to

Part b) The graph of the line in the attached figure

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 value of k

we have

substitute

so

the linear equation is equal to

step 2

using a graphing tool

graph the line

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