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.

Answers

Answer 1
Answer:

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: 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 isy= 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

Answer 2
Answer: 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 :)

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