Question

The total cost of renting a banquet hall is a function of the number of hours the

hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?

Answer 1

The greatest value in the range for renting the banquet hall for a certain number of hours can be found by setting the total cost to its maximum value. In this case, the maximum value is reached when the number of half hours is 5.

Step-by-step explanation:

We can find the greatest value in the range by finding the maximum number of half hours that the banquet hall can be rented for. In the given equation, C = 45h + 50, where C is the total cost and h is the number of half hours.

To find the maximum value for h, we need to set the total cost C to its maximum value. The maximum cost is reached when h is equal to 5, because after 5 half hours, the owner charges a fixed rate of $50 for cleaning.

So the greatest value in the range for this situation is when h = 5. Plugging this value into the equation, we get C = 45(5) + 50 = 225 + 50 = $275.

Answer 2

9514 1404 393

Answer:

$500

Step-by-step explanation:

The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...

C = 45·10 +50 = 450 +50 = 500

The greatest value in the range for this situation is $500.