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 2 toppings costs $17.50. what is the cost of a pizza with 5 toppings?

The cost of a pizza with 5 toppings would be $ 22.75

Step-by-step explanation:

Let the linear function that represents the cost in dollars, y of a large pizza with x toppings is,

y = mx + c  (1)

Given,

When x = 0, y = 14.00,

By substituting the values,

14.00 = m(0) + c

⇒ c = 14.00

Now, when x = 2, y = 17.50,

Again substituting the values,

17.50 = 2m + c

17.50 = 2m + 14.00

17.50 - 14.00 = 2m

3.50 = 2m

1.75 = m

Hence, from equation (1) the linear function that represents the given situation would be,

y = 1.75x + 14.00

If x = 5

y = 1.75 (5) + 14.00 = 22.75,

Therefore, the cost of a pizza with 5 toppings would be $ 22.75

quit

step-by-step explanation: