Question

The diameter of the raw cookie is 2 1 2 inches. After baking the cookie, the diameter is 5 1 2 inches. By what factor does the cookie expand? A 236% B 220% C 45% D 42%

Answer 1

The cookie expands by a factor of 220%, which is calculated by dividing the diameter after baking (5.5 inches) by the diameter before baking (2.5 inches) and converting to a percentage.

Step-by-step explanation:

To calculate the factor by which the cookie expands, you need to compare the diameter of the cookie before and after baking. The diameter before baking is 2 1/2 inches, which is equal to 2.5 inches, and the diameter after baking is 5 1/2 inches, which is equal to 5.5 inches.

The expansion factor can be found by dividing the diameter after baking by the diameter before baking:

1. Convert the mixed numbers to improper fractions or decimals.
2. Calculate the expansion factor: Expansion factor = diameter after baking ÷ diameter before baking = 5.5 inches ÷ 2.5 inches = 2.2.
3. Convert the expansion factor to a percentage by multiplying by 100: 2.2 × 100 = 220%.

Hence, the cookie expands by a factor of 220%. The correct answer to the question is option B.

Answer 2

120%

Step-by-step explanation:

Given that,

The diameter of the raw cookie is 2 1/2 inches i.e. 5/2 inches

After baking the cookie, the diameter is 5 1/2 inches i.e. 11/2inches

We need to find by what factor does the cookie expand.

`x=(5(1)/(2)-2(1)/(2))/(2(1)/(2))* 100\\\\=((11)/(2)-(5)/(2))/((5)/(2))* 100\\\\=120\%`

So, the cookie will expand 120%.