Wanda is a rectangular cake designer with a specialty in silk screen photo cakes. for every cake that she makes, the width of the cake is 4 inches more than the width of the photo in the middle of the cake, and the length of the cake is 3 times the width of the cake. if x represents the width of the photo, which of the following functions represents the area of the cake? a. c(x) = 3x2 + 24x + 48 b. c(x) = 3x2 + 15x + 16 c. c(x) = 3x2 + 48 d. c(x) = 3x2 + 12

Option A.

Step-by-step explanation:

Based on the information given in the problem, you can draw the figure shown attached.

The area of  rectangle can be calculated with the following formula:

Where l is the length and w is the width.

As you can see in the figure:

- The width is:

-The length is:

Therefore, you must multiply both expressions to obtain the area:

Add like terms:

Then, the function that represents the area of the cake is:

step-by-step explanation: