Answer: b. $22.75 
Step-by-step explanation:
Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.
Let x denotes the number of toppings and y be the cost of that pizza.
Then,  , m= cost per topping  and c= cost of pizza without any topping.
 , m= cost per topping  and c= cost of pizza without any topping.
From the given information.
c= $14
Function of cost becomes = 
For x= 2 and y= 17.50, we have

tex]3.50=m(2)[/tex]  [Subtract 14 from both sides]
 [Divide both sides by 2]
  [Divide both sides by 2]
For c= 14 and m =1.75  , our function becomes.

Now, for x= 5

Hence, the cost of a pizza with 5 toppings =  $22.75