Answer: $22.75
Explanation:
Given : The cost in dollars, y, of a large pizza with x toppings from Pat’s Pizzeria can be modeled by a linear function.
A linear function is given by :-
(1)
, where m is slope (rate of change of y w.r.t x) and c is the y-intercept.
A large pizza with no toppings costs $14.00.
i.e. for x=0 , y= 14
Put theses values in (1) , we get
(2)
A large pizza with 2 toppings costs $17.50.
i.e. for x=2 , y= 17.50
Put theses values in (1) , we get
Put value of c from (2)
Subtract 14 from both sides , we get

Divide both sides by 2 , we get

Put m= 1.75 and c= 14 in (1) , the linear function representing cost of large pizza becomes

At x= 5

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