Question

Graphing proportional relationships

Answer 1

a. The unit rate is 9 d per t

b. Find the graph in the attachment

To graph the line, we need to find its gradient or unit rate

a. How to calculate the unit rate of change of d with respect to t?

Since t has an increase of 0.20 units in t corresponds to an increase of 1.8 units in d.

The gradient or unit rate of change is m = change in d/change in t

= Δd/Δt

Since

• Δd = +1.8 units and
• Δt = +0.2 units

So, substituting the values of the variables into the equation, we have

m = Δd/Δt

= + 1.8 units/+ 0.2 units

= 9 d per t

So, the unit rate is 9 d per t

b. The graph of the line

To graph the function, we need to know the equation of the graph.

So, the equation of a graph in gradient form is

m = (y - y')/(x - x') where (x', y') = (0, 0) since the graphs both start at the origin

Since m = 9, we have

m = (y - y')/(x - x')

9 = (y - 0)/(x - 0)

9 = y/x

y = 9x

So, the equation of the line is y = 9x

Find the graph in the attachment.

Learn more about graphs here:

brainly.com/question/3939432

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