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graph the proportional relationship D=60t that expresses your distance traveled in D (miles) in terms of time t (in hours) since you started going 60 mph

User Kwirk
by
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1 Answer

24 votes
24 votes

The equations for Proportional relationships have the following form:


y=kx

Where "k" is the Constant of proportionality.

By definition, the graph of Proportional relationships is a line that passes through this point:


(0,0)

This is called "The origin".

As you can notice, this is the same as write the Equation of a line that passes through the Originl, where "m" is the slope of the line:


y=mx

In this case you have:


D=60t

So, in order to graph the Proportional relationship, you can give values to "t" in order to find points on this line. Then:

1. When:


t=2

You get:


D=60(2)=120

So you have the point:


(2,120)

2. When:


t=4

You get:


D=60(4)=240

The point is:


(4,240)

Plot the points on the Coordinate plane. The line must pass through them.

Therefore, the graph of this Proportional relationships is:

graph the proportional relationship D=60t that expresses your distance traveled in-example-1
User Montana
by
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