Final answer:
To find the value of a slice that is half chocolate and half vanilla, divide the cost of the cake by the number of slices to get $1.75 per slice. Ahmed's preference for chocolate does not change the cost per slice since it is equally distributed.
Step-by-step explanation:
The subject of the question is Mathematics and it appears to be at a Middle School level. To solve this problem, we need to divide the total cost of the cake by the number of slices to find the cost per slice. Then, since Ahmed likes chocolate four times as much as vanilla, we need to calculate the value that he would assign to each flavor.
First, let's find the cost per slice:
Total cost of the cake = $14Since the question asks for the value of a slice that is half chocolate, half vanilla, each flavor makes up half of the slice's total value. Given Ahmed's preference, we do not need to adjust the cost per slice because the chocolate and vanilla are equally distributed in the slice. Therefore, each slice, regardless of flavor preference, costs $1.75. The correct answer is (c) $1.75.