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.
$19.00
$22.75
$43.75
$70.00
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.