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.
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: @@MATH_TOKEN_0@@
Substitute the respective values.
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Hence, the required equation is @@MATH_TOKEN_4@@
Now find the cost of pizza with 5 toppings by substituting x=5 in above equation.
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Hence, the cost a pizza with 5 toppings is $22.75