Question

question pizza palace uses the equation y = 0.75x + 12 to calculate the cost of a large pizza, y, for x toppings. the table shows the cost of a large pizza with different numbers of toppings at ziggys pizza. which pizza charges the most per - topping and by how much?

number of toppings (x)	2	4	6
total cost (y)	$13.30	$15.20	$17.10

Explanation:

Step1: Find the cost - per - topping at Ziggy's Pizza

Use the two - point formula for the slope of a line (since the cost equation is linear). Let $(x_1,y_1)=(2,13.30)$ and $(x_2,y_2)=(4,15.20)$. The slope $m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{15.20 - 13.30}{4 - 2}=\frac{1.9}{2}=0.95$.

Step2: Compare with the cost - per - topping at Pizza Palace

At Pizza Palace, the cost equation is $y = 0.75x+12$, and the coefficient of $x$ is the cost per topping, which is $0.75$.

Step3: Find the difference

Subtract the cost - per - topping at Pizza Palace from the cost - per - topping at Ziggy's. $0.95−0.75 = 0.20$.

Answer:

Ziggy's Pizza charges the most per topping by $\$0.20$.