it takes 5hr for 8 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 7 cooks to prepare the dinner A what kind of variation apples to this situation. B solve the problem
To solve this problem, we can start by setting up a proportion comparing the number of cooks to the amount of time it takes to prepare the food.
Let's say it takes "x" hours for 7 cooks to prepare the dinner.
The proportion can be set up as follows:
8 cooks / 5 hours = 7 cooks / x hours
To solve for "x", we can cross-multiply:
8 cooks * x hours = 7 cooks * 5 hours
8x = 35
Now we can solve for "x" by dividing both sides by 8:
x = 35 / 8
x ≈ 4.375
So it would take approximately 4.375 hours for 7 cooks to prepare the dinner.
Now, let's discuss the type of variation that applies to this situation.
The type of variation that applies here is called direct variation. Direct variation occurs when two variables are related in such a way that their ratio remains constant. In this case, the number of cooks and the time it takes to prepare the food have a direct variation. As the number of cooks decreases, the time it takes to prepare will also decrease, and vice versa.
By using the concept of direct variation, we can solve the problem and determine that it would take approximately 4.375 hours for 7 cooks to prepare the dinner.