Final answer:
The total baking time for all the cookies is 1/4 of an hour or 15 minutes. The provided answer choices do not match the calculated baking time.
Step-by-step explanation:
To determine the total baking time necessary for all the cookies, we need to understand the proportion of baking time provided in the question: 1/16 of an hour for 1/4 of the total number of cookies.
If we multiply both sides of the equation by 4 to get the time it takes for all the cookies, we get that it takes 4/16 or 1/4 of an hour to bake all the cookies. Since 1 hour is equal to 60 minutes, we find:
- 1/4 hour = 60 minutes / 4 = 15 minutes
Therefore, it takes 15 minutes to bake all the cookies. To convert this time into hours, we remember that there are 60 minutes in an hour, thus:
- 15 minutes = 15/60 hours = 1/4 hour
None of the answer choices provided (a through d) accurately describe the baking time calculated (1/4 hour or 15 minutes), so it seems there may be a misprint or misunderstanding in the question as given.