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

Answer 1

Answer: b. $22.75

Step-by-step 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

Answer 2

Answer:

The answer is B.

Step-by-step explanation:

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