Which function rule relates the number of field goals, f, and the number of points, p?

Question

In football, a field goal is worth 3 points. Which function rule relates the number of field goals, f, and the number of points, p?

A) f=3p
B) p=3f
C) 3+f
D) p=3+f

I think it's A. Am I right?

Answer 1

A implies that field goals depends on points. 

B read that the number of points a team has is equal to 3 times the number of field goals made, which is what you are looking for. For example if a team makes 2 field goals then the number of points they will have is 3*2 or 6:

p=3f

p=3*2

p=6

 

Answer 2

It will be B.

 

Reason:

 

your points is dependent on the number of field goal you have achieved

therefore if written in the "function form"

 

p(f) = 3*f

p(1) = 3*(1) = 3 points

p(5) = 3*(5) = 15 points

 

 

Answer 3

It should help to know that a function has (1) independent variables and (2) dependent variables.

 

Independent variables (like independent people) change "whenever they want to."  Usually written as x.

 

Dependent variables "depend" on the independent variables.  Usually written as y.

 

Now, there may be an inverse function (learn later, x depends on y also).

 

And, a function requires that there is none or one value of y for each possible value of x.  The possible values of x are called the domain of the function.  The possible values of y are called the range of the function.

 

Points (p) depend on the number of field goals (f).  They count 3 points each.  The function is p=3f.