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 $85 per half hour up to a maximum of 4 hours plus a
$50 cleaning fee. What is the greatest value in the range for this situation?
I NEED HELP HAVE BEEN STUCK FOR A WHILE.
4 hours max, $85 per half-hour. There are two half hours in 1 hour, so 4 hours x 2 = 8. Therefore you do $85 x 8. The answer to $85 x 8 will be the total price of renting the banquet. Then you add the cleaning fees. So..$85 x 8 + $50.
$85 (price per half hour) x 8 (half hours) + 50 (cleaning fees) = $730
You don't have to change any of the numbers because it is asking for the greatest value of range. Hope this made sense but if you need anymore help I'm here :)
The
So am I.
cost = 50 + 170 t
where t is the time in hours
however you show nothing on the benefit or value side of the equation.
Obviously your lowest cost per hour is to use the maximum of four hours, spreading the 50 cleaning fee out over as many hours as possible.
However you do not say how much 4 ours is worth to you versus three, and your total cost is less with 3.
Oh boy, seems like you're in a pickle! Don't worry, I'm here to help – with a side of humor, of course.
Now, let's tackle this problem. So, the cost of renting the banquet hall is $85 per half hour, up to a maximum of 4 hours. Let's break it down step by step.
First, we need to figure out the cost of renting for 4 hours. Since each half hour costs $85, we can multiply it: 85 x 8 = $680.
Next, we have the "plus a $50 cleaning fee" in the equation. So, we add that to the total cost: 680 + 50 = $730.
Therefore, the greatest value in the range for renting the banquet hall is $730.
I hope that helps, and remember – even when dealing with math, laughter is always the best solution!
To find the greatest value in the range for this situation, we need to determine the maximum total cost for renting the banquet hall.
Let's break this problem down step by step:
Step 1: Define the function
Let's define a function C(h) that represents the total cost of renting the banquet hall for h hours.
Step 2: Calculate the cost for the first 4 hours
According to the information given, the owner charges $85 per half hour up to a maximum of 4 hours. So, for the first 4 hours, we will incur a cost of $85 per half hour.
- If h <= 4, the cost will be $85 per half hour.
- If h > 4, the cost will be calculated differently (step 3).
For h <= 4, the cost for renting the banquet hall is given by:
C(h) = $85 * 2h
Step 3: Calculate the cost for hours beyond 4
If h > 4, the cost for renting the banquet hall will be different. The owner charges a maximum fee for 4 hours of rental and adds a $50 cleaning fee.
For h > 4, the cost for renting the banquet hall is given by:
C(h) = $85 * 2 * 4 + $50
Step 4: Determine the greatest value in the range
To find the greatest value in the range, we need to compare the costs for different hours of rental.
We can create a table to compare the costs for different values of h:
h | C(h)
-----------------
1 | $85
2 | $170
3 | $255
4 | $340
5 | $370
6 | $370
...
By calculating the costs for different values of h, we can see that after 4 hours, the cost remains constant at $370.
Therefore, the greatest value in the range for this situation is $370.
I hope this helps! If you have any further questions, feel free to ask.
The number of hours, h <= 4
So, the charges c <= 85*8 + 50