Respuesta :
Answer:
The number of calories is going to be pretty close to proportional to the area of the pizza. Figure out the area of a 6-ince pizza, and then figure out the area of a 14-inch pizza. Then you're going to get a proportion:
(Area of 14 inch pizza) is to (Area of 6 inch pizza) as (Number of calories in 14 inch pizza) is to (Number of calories in 6 inch pizza.
You know the areas of both sizes and the number of calories in the 6 inch pizza, so you should be able to find the number of calories in the 14 inch pizza.
Then divide by 8 to get the number of calories in each slice.
We want to find how many calories there are in one slice of pizza given that we know how many there are in a whole pizza, we will see that in one slice there are 506.67 calories.
Solving the equation:
We know that in 6-inch pizza we have 570 calories.
Notice that the area of a 6 in pizza the diameter is 6 inches, then the area is:
A = 3.14*(6in/2)^2 = 28.26 in^2
This means that in 28.26 in^2 of pizza we have 570 calories.
Now, in a 16-inch pizza we have an area of:
A' = 3.14*(16 in/2)^2 = 200.96 in^2
The amount of calories in a 16 inch pizza will be given by the quotient between A' and A times the amount of calories in the smaller pizza, this is:
C = (200.96 in^2/28.26 in^2)*570 cal = 4,053.3 cal
So in a 16-inch pizza we have 4,053,3 calories, and if we divide it in 8 even slices, each slice will have:
4,053,3 cal/8 = 506.67 cal
So each slice of pizza has 506.67 calories.
If you want to learn more about areas, you can read:
https://brainly.com/question/15673093
