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.

Answer 1

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 2

The cost a pizza with 5 toppings is $22.75

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:
`y - y_1 = (y_2-y_1)/(x_2-x_1) (x-x_1)`

Substitute the respective values.

`y - 14 = (17.50-14)/(2-0) (x-0)`

`y - 14 = 1.75 (x)`

`y= 1.75x+14`

Hence, the required equation is
`y= 1.75x+14`

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

`y= 1.75(5)+14`

`y= 8.75+14`

`y= 22.75`

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