Write a function rule for the table.

p = h + 12.5

h = 6.25p

p = 6.25h

p = 12.5h

description

The correct answer is:  [C]:  " p = 6.25 h " .

Explanation:  


It is clear that "pay" is a function of "hours worked" ; 

So, we can eliminate:  "Choice [B]:  " h = 6.25p" .

Try, Choice [A]:  " p = h + 12.5 " ; and 14.50 ≠ 12.50 ; (12.50 is the amount shown in the table.  So, we can already eliminate "Choice [A]".

Now that we have eliminated choices [A] and [B]; 

we are left with choices:  [C] and [D]:

Consider choice [C]:  " p = 6.25h " ;  
   when "h = 2" ; does: "p = 12.5" (as shown on table)?? ; 

i.e. " 12.5 =? 6.25 * (2) ?? Yes!  This choice is a POSSIBILITY.

Consider choice [D]:  " p = 12.5h" .

When "h = 2, does "p = 12.5" (as shown on table)?  No!  
   → We can see from this very answer choice
        (the equation itself) that when "h = 2" ;
the value of "p" is DOUBLE [that of "12.5"].
 
The correct answer is:  Answer choice:  [C]:   " p = 6.25 h " .