Question

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)

Answer 1

Answer:

Part a) The unit rate of change of d with respect to t is equal to $9$

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

step 1

Find the value of k

we have

$t=0.2, d=1.8$

$k=d/t$

substitute

$k=\frac{1.8}{0.2}=9$

so

the linear equation is equal to

$d=9t$

step 2

using a graphing tool

graph the line $d=9t$