for a walk a thon a sponsor committed to give you a flat fee of $5 plus $2 for every Mile and you walk write an expression for the total amount you will collect from your sponsor at the end of the walk a thon

f (x) = 2+2*x where x is the miles you run

Step-by-step explanation:

Lets call f (x) the function that show how much money the sponsor will give you as a function of the miles you walk (x). If you do not walk any mile you have only $5, then if you walk one mile you get $5+$2=$7, and so on. Lets use a simple table for some values (I will omit $ symbol for simplicity):

x (miles) f (x) (money)

1 5+2

2 5+2 (2) = 9

3 5+3 (2) = 11

10 5+10 (2) = 25

x 2+2*x

So we can observe a pattern, the total payment you receive will be 5 plus the miles you run multiplied by 2. Thus the expression for the total amount you will collect from your sponsor at the end of the walk a thon is:

f (x) = 2+2*x

where x is the miles you run.

I hope it is understandable.