The cost in dollars, y, of a large pizza with x toppings from Pat's Pizzeria can be modeled by a linear function. A large pizza with no toppings costs $14.00. A large pizza with toppings costs $17.50.

Given :

A large pizza with no toppings costs $14.00. A large pizza with toppings costs $17.50 .

To Find :

The cost in dollars y, of a large pizza with x toppings from Pat's Pizzeria.

Solution :

Let, equation is :

y = mx + c    1)

Case 1 : With no toppings.

y = 14 = m(0) + c

c = 14

Case 2 : With 1 toppings i.e x = 1 .

y = 17.50 = m( 1 ) + c

17.50 = m + 14

m = 3.5

Putting value of c and m in equation 1, we get :

y = 3.5x + 14

Hence, this is the required solution.