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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. a. $19.00 b. $22.75 c. $43.75 d. $70.00

User Eric Hirst
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2 Answers

4 votes

Answer:

The answer is B.

Explanation:

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User Kitae
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5 votes

Answer: b. $22.75

Explanation:

Given : A large pizza with no toppings costs $14.00. A large pizza with 2 toppings costs $17.50.

Let x denotes the number of toppings and y be the cost of that pizza.

Then,
y=mx+c , m= cost per topping and c= cost of pizza without any topping.

From the given information.

c= $14

Function of cost becomes =
y=mx+14

For x= 2 and y= 17.50, we have


17.50=m(2)+14

tex]3.50=m(2)[/tex] [Subtract 14 from both sides]


m=\$ 1.75 [Divide both sides by 2]

For c= 14 and m =1.75 , our function becomes.


y=1.75x+14

Now, for x= 5


y=1.75(5)+14=8.75+14=22.75

Hence, the cost of a pizza with 5 toppings = $22.75

User Enlico
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