Question

A 6 inch personal pizza has 580 calories, with 240 of those from fat. A 14 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 14 inch pizza.

Answer 1

Assuming the distribution of toppings is similar for both the 6 inch and 14 inch pizzas, we can use the ratio of calories to size to estimate the number of calories in one slice of a 14 inch pizza.

First, we need to find the total number of calories in the 14 inch pizza. Since the 6 inch pizza has 580 calories, we can estimate that the 14 inch pizza has approximately 4 times the area, and thus 4 times the number of calories. Therefore, the 14 inch pizza has approximately 2320 calories (580 x 4).

Next, we need to estimate the number of calories in one slice of the 14 inch pizza. Since the pizza is cut into 8 slices, each slice represents 1/8 of the total pizza. Therefore, one slice of the 14 inch pizza has approximately 290 calories (2320/8).

It's important to note that this is just an estimate, as the distribution of toppings may vary between the 6 inch and 14 inch pizzas, and different toppings can have different calorie counts.

Explanation:

Answer 2

One slice of a 14 inch pizza would have an estimated 327.5 calories.

Explanation:

To estimate the number of calories in one slice of a 14 inch pizza, we can use the information provided about the 6 inch pizza. We know that the 6 inch pizza has 580 calories, with 240 of those from fat. Let's assume that the same ratio of fat calories to total calories applies to the 14 inch pizza.

To find the total number of calories in a 14 inch pizza, we can first calculate the area of the pizza:

radius = diameter / 2 = 14 / 2 = 7 inches

area = pi x radius^2 = 3.14 x 7^2 = 153.86 square inches

Next, we can divide the total number of calories in the 6 inch pizza by its area to get the calories per square inch:

580 calories / (3.14 x 3^2) = 20.68 calories/sq. in.

Finally, we can use the calories per square inch to estimate the number of calories in one slice of the 14 inch pizza. Since the 14 inch pizza is cut into 8 slices, each slice would have an area of:

area per slice = 153.86 sq. in. / 8 = 19.23 sq. in.

So, the estimated number of calories in one slice of the 14 inch pizza would be:

19.23 sq. in. x 20.68 calories/sq. in. = 397.5 calories

However, we know that 240 of the calories in the 6 inch pizza come from fat, so we can adjust our estimate to account for this. Assuming the same ratio applies to the 14 inch pizza, we can estimate that:

240/580 = 0.41 or 41% of the calories in the 6 inch pizza come from fat.

So, the estimated number of calories in one slice of the 14 inch pizza that come from fat would be:

0.41 x 327.5 calories = 134 calories

Therefore, the estimated number of calories in one slice of the 14 inch pizza would be:

327.5 calories - 134 calories = 193.5 calories (rounded to 327.5/8 = 40.94 or 41 calories).