xnewmaw
contestada

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.

Respuesta :

melhunt99
First find how much one topping is: subtract the L price from the L2T price: 17.50-14=3.50. Divide by 2: 3.50/2=1.75. Multiply by 5: 1.75•5=8.75. Add the topping cost to the L pizza cost: 8.75+14=22.75. $22.75 :)

Answer:

The cost a pizza with 5 toppings is $22.75

Step-by-step explanation:

Consider the provided statement.

It is given that A large pizza with no toppings costs $14.00.

A large pizza with 2 toppings costs $17.50.

We can translate the problem and given into data points: (0, 14) and (2,17.50)

Where x coordinates represents the toppings and y is the cost.

Now the use the point-slope form: [tex]y - y_1 = \frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]

Substitute the respective values.

[tex]y - 14 = \frac{17.50-14}{2-0} (x-0)[/tex]

[tex]y - 14 = 1.75 (x)[/tex]

[tex]y= 1.75x+14[/tex]

Hence, the required equation is [tex]y= 1.75x+14[/tex]

Now find the cost of pizza with 5 toppings by substituting x=5 in above equation.

[tex]y= 1.75(5)+14[/tex]

[tex]y= 8.75+14[/tex]

[tex]y= 22.75[/tex]

Hence, the cost a pizza with 5 toppings is $22.75