Question

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? Round to the nearest penny. a. $19.00 b. $22.75 c. $43.75 d. $70.00

Answer 1

The answer is B.

Explanation:

I just took the quiz of edu

Answer 2

Answer: b. $22.75

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,
`y=mx+c` , m= cost per topping and c= cost of pizza without any topping.

From the given information.

c= $14

Function of cost becomes =
`y=mx+14`

For x= 2 and y= 17.50, we have

`17.50=m(2)+14`

tex]3.50=m(2)[/tex] [Subtract 14 from both sides]

`m=\$ 1.75` [Divide both sides by 2]

For c= 14 and m =1.75 , our function becomes.

`y=1.75x+14`

Now, for x= 5

`y=1.75(5)+14=8.75+14=22.75`

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