Marcello's Pizza charges a base price of $18 for a large pizza plus $2.50 for each additional topping(a) Find a function f that models the price of a pizza with n toppings.18 2.50xf(n)(b) Find the inverse of the function f.(n)=What does frepresent?frepresents the cost of a pizza with n toppingsfrepresents the number of toppings on a pizza that costs n dollars.f1 represents the number of pizzas with toppings that cost n dollars.f represents the number of toppings on a pizza that costs 2/5(n) dollars.(c) If a pizza costs $23, how many toppings does it have?X toppings75.5

Question
Asked Oct 6, 2019
Marcello's Pizza charges a base price of $18 for a large pizza plus $2.50 for each additional topping
(a) Find a function f that models the price of a pizza with n toppings.
18 2.50x
f(n)
(b) Find the inverse of the function f.
(n)=
What does f
represent?
f
represents the cost of a pizza with n toppings
f
represents the number of toppings on a pizza that costs n dollars.
f1 represents the number of pizzas with toppings that cost n dollars.
f represents the number of toppings on a pizza that costs 2/5(n) dollars.
(c) If a pizza costs $23, how many toppings does it have?
X toppings
75.5
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Marcello's Pizza charges a base price of $18 for a large pizza plus $2.50 for each additional topping (a) Find a function f that models the price of a pizza with n toppings. 18 2.50x f(n) (b) Find the inverse of the function f. (n)= What does f represent? f represents the cost of a pizza with n toppings f represents the number of toppings on a pizza that costs n dollars. f1 represents the number of pizzas with toppings that cost n dollars. f represents the number of toppings on a pizza that costs 2/5(n) dollars. (c) If a pizza costs $23, how many toppings does it have? X toppings 75.5

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Expert Answer

Step 1

Given that Marcello’s Pizza charges a base price of $18 for a large pizza plus $2.50 for each additional topping.

Step 2

Let f(n) gives the total price of the pizza with n toppings. The total price is the sum of a fixed amount plus $2.50 for each additional topic.
Therefore the required function is given below:

f(n) 18+2.50n
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f(n) 18+2.50n

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Step 3

The inverse of the function can be...

f(n) 18 2.50n
f(n)-18 2.50n
f(n)-18
= n
2.50
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f(n) 18 2.50n f(n)-18 2.50n f(n)-18 = n 2.50

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