Answer:
The unit rate of change is 9 units.
Step-by-step explanation:
We have to draw a line which represents a proportional relationship between d and t. In the graph t is represented on x-axis represents and d is represent on y-axis.
It is given that increase of 0.2 units in t corresponds to an increase of 1.8 units in d.
The unit rate of change is also known as slope.
[tex]Slope=\frac{\text{Change in y}}{\text{Change in x}}[/tex]
For the given case,
[tex]Slope=\frac{\text{Change in d}}{\text{Change in t}}[/tex]
[tex]Slope=\frac{1.8}{0.2}[/tex]
[tex]Slope=9[/tex]
Therefore the unit rate of change is 9 units.
There is a proportional relationship between d and t, therefore the line must be passing through (0,0).
The point slope form of a line
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope.
[tex]y=9x[/tex]
Therefore the equation of line is [tex]y=9x[/tex].
