Final answer:
To find out how long it will take to bake the cookies, we can set up a proportion and solve for the unknown variable. Brandon and his mother will finish baking the cookies at 6:00 p.m.
Step-by-step explanation:
To solve this problem, we can use the concept of rates. We know that it takes 2 hours to bake 8 sheets of cookies. This means that the rate at which cookies are baked is 8 sheets per 2 hours. To find out how many hours it will take to bake the cookies, we can set up a proportion:
8 sheets / 2 hours = x sheets / 1 hour
Cross-multiplying, we get:
8 * 1 = 2 * x
Simplifying, we find that x = 4 sheets per hour.
Since Brandon and his mother start baking at 4:00 p.m., we can calculate how many hours it will take them to bake the cookies by dividing the number of sheets by the rate:
8 sheets / 4 sheets per hour = 2 hours
Therefore, they will finish baking the cookies at 6:00 p.m.