SOLUTION: what does a t(p)=44 means to?

Question 1001889: what does a t(p)=44 means to?

Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
t(p) = 44 is a function that tells you that the value of the function will always be 44 regardless of the value of p.

the disappearance of p on the right hand side of the equation indicates that any value of p will satisfy the function.

t is the name of the function.
p is the argument of the function.
the expression on the right side is the rules of the function.

for example:

t(p) = p means that the value of the function will always be the value of p.

t(1) = 1
t(2) = 2
etc.

t(p) = p^2 means that the value of the function will always be the square of the value of p.
t(2) = 4
t(3) = 9
etc.

consider t(p) = p + 44
the value of the function will always be 44 more than the value of p.
t(1) = 1 + 44 = 45
t(2) = 2 + 44 = 46
etc.

consider t(p) = 0*p + 44
the value of the function will always be 44.
it doesn't matter what the value of p is.
t(0) = 0*0 + 44 = 44
t(1) = 0*1 + 44 = 44
t(2) = 0*2 + 44 = 44

when you simplify t(p) = 0*0 + 44, it becomes t(p) = 44.

to graph t(p) = 44, replace t(p) with y and replace p with x and you will get:
y = 0*x + 44 which becomes y = 44.

graph y = 44 and you will get a horizontal line at y = 44.
whatever value that x is, y will always be 44.

here's the graph:

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