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)

Accepted Solution

Answer:Part a) The unit rate of change of d with respect to t is equal to [tex]9[/tex]Part b) The graph of the line in the attached figureStep-by-step explanation:we know thatA 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 1Find the value of kwe have[tex]t=0.2, d=1.8[/tex][tex]k=d/t[/tex]substitute[tex]k=\frac{1.8}{0.2}=9[/tex]sothe linear equation is equal to[tex]d=9t[/tex]step 2using a graphing toolgraph the line [tex]d=9t[/tex]