What is an ordered pair of the function #d(t)=35t#?

1 Answer

#(0,0),(1,35),(-1,-35)#

Explanation:

An ordered pair is a set of numbers - one of which is the independent variable and the other is the result. And since that just sounds like a bunch of words, let's just do it this way:

#(t, d(t))# - this is our format.

Ok, let's do a few of these to get the hang of it. One of my favourite numbers to drop into anything like this is the number #0#. Ok, so we have:

#t=0#

And what is #d(t)# when #t=0#?

#d(t)=35t=35(0)=0#

So we have an ordered pair:

#(0,0)#

Let's do it again with #t=1#:

#d(t)=35(1)=35(1)=35#

And so we have

#(1,35)#

Let's do it again with #t=-1#:

#d(t)=35(1)=35(-1)=-35#

And that give us #(-1,-35)#