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.

Question

What is the cost of a pizza with 5 toppings? Round to the nearest penny.

$19.00
$22.75
$43.75
$70.00

Answer 1

To find the cost of a pizza with 5 toppings, we can create two points based on the information given:

(0, 14.00) - A large pizza with 0 toppings costs $14.00
(2, 17.50) - A large pizza with 2 toppings costs $17.50

Now we can calculate the slope of the line:

slope = (17.50 - 14.00) / (2 - 0) = 3.50 / 2 = 1.75

Now that we have the slope, we can find the equation of the line in the form y = mx + b:

y = 1.75x + b

Now we can use one of the points (0, 14.00) to solve for b:

14.00 = 1.75(0) + b
b = 14.00

Therefore, the equation of the line is:

y = 1.75x + 14.00

Now we can find the cost of a pizza with 5 toppings:

y = 1.75(5) + 14.00
y = 8.75 + 14.00
y = 22.75

So, the cost of a pizza with 5 toppings is $22.75.