Question

The manager of a local hotel knows that on holiday weekends if they charge $116 per room, they will book all 100 of the rooms in the hotel. For every $42 increase in price, they will book 6 fewer rooms. In the following parts we will write an equation that represents the number of rooms rented as a function of price charged per room. Part a) Identify the input and output to the function and the variables that you will use to represent them. Part b) Using the input and output from Part a) create a table that includes at least 5 different room charges and the corresponding number of rooms that are rented. Part c) Based on the table you created in Part b) what type of function does this table represent? How do you know? Part d) Using the above parts, write an equation that represents the number of rooms rented as a function of price charged per room. (Make sure to show all work) Please upload a single page as a PDF or image file answering all parts of this question. Submissions that are not PDF or image files will not be graded.

          The manager of a local hotel knows that on holiday weekends if they charge $116 per room, they will book all 100 of the rooms in the hotel. For every $42 increase in price, they will book 6 fewer rooms. In the following parts we will write an equation that represents the number of rooms rented as a function of price charged per room.

Part a)
Identify the input and output to the function and the variables that you will use to represent them.

Part b)
Using the input and output from Part a) create a table that includes at least 5 different room charges and the corresponding number of rooms that are rented.

Part c)
Based on the table you created in Part b) what type of function does this table represent? How do you know?

Part d)
Using the above parts, write an equation that represents the number of rooms rented as a function of price charged per room. (Make sure to show all work)

Please upload a single page as a PDF or image file answering all parts of this question. Submissions that are not PDF or image files will not be graded.

Show more…

The manager of a local hotel knows that on holiday weekends if they charge 116 per room, they will book all 100 of the rooms in the hotel. For every42 increase in price, they will book 6 fewer rooms. In the following parts we will write an equation that represents the number of rooms rented as a function of price charged per room.

Part a)
Identify the input and output to the function and the variables that you will use to represent them.

Part b)
Using the input and output from Part a) create a table that includes at least 5 different room charges and the corresponding number of rooms that are rented.

Part c)
Based on the table you created in Part b) what type of function does this table represent? How do you know?

Part d)
Using the above parts, write an equation that represents the number of rooms rented as a function of price charged per room. (Make sure to show all work)

Please upload a single page as a PDF or image file answering all parts of this question. Submissions that are not PDF or image files will not be graded.

Added by Brianna W.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

08/02/2022

Step 1

Input: Cost per room Output: Number of rooms rented Variables: Let x represent the cost per room and y represent the number of rooms rented. Show more…

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The manager of a local hotel knows that on holiday weekends, if they charge $116 per room, they will book all 100 of the rooms in the hotel. For every $42 increase in price, they will book 6 fewer rooms. In the following parts, we will write an equation that represents the number of rooms rented as a function of the price charged per room. Part a) Identify the input and output to the function and the variables that you will use to represent them. Part b) Using the input and output from Part a), create a table that includes at least 5 different room charges and the corresponding number of rooms that are rented. Part c) Based on the table you created in Part b), what type of function does this table represent? How do you know? Part d) Using the above parts, write an equation that represents the number of rooms rented as a function of the price charged per room. (Make sure to show all work) Please upload a single page as a PDF or image file answering all parts of this question. Submissions that are not PDF or image files will not be graded.

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00:01 Of a local hotel knows that on holiday weekends if they charge $116 per room they will book a hundred of the rooms in the hotel for every $42 increase in price they will book six fewer rooms in the following parts we will write an equation that represents the number of rooms rented as a function of price charged per room okay so it says identify the input and the output of the function in the variables you will use to represent them.

00:38 Okay, so let's take a look here.

00:40 X, y, and so we have cost and or we have the number of rooms and the cost, okay? so cost and the number of rooms, okay? so if it's $116 per room, okay, and and they book 100 rums, okay? and 100.

01:20 So then that is going to be a total of $11 ,600.

01:29 Okay? for every $42 increase in price, they will book, so it goes from $116 to they will book six fewer rums.

01:44 Okay? okay, so 116 plus 42, and that is going to be $158 per rung.

01:55 So they'll book six fewer rums, so at 94 rums, so 94 times 158, and that's 14 ,82.

02:12 If i add another $42 on to that, then i'm going to be at $200 per rum.

02:31 Okay, so that one is going to be multiplied by 94, and then this one is going to be multiplied by 88.

02:41 So 88 rums.

02:44 So 88 times 200 is 17 ,600.

02:54 Okay.

02:57 And then just to do this one more time, if i add another $42, 242 times 82, because then there's 82 rums, and 242 times 82, oops.

03:18 242 times 82.

03:23 So, oops, i did the opposite number of rooms, total costs.

03:36 And so then that is 19 ,844.

03:43 So let's see what the increase is.

03:46 So 14852 minus 11 ,600.

03:52 That's 35252.

03:58 I wrote that wrong.

04:01 3 .3 .3 .3 .3 .252.

04:10 And then 17 ,600 minus 4, minus 14 ,852.

04:22 And that's 2748.

04:27 And then 17 ,600, 19844, minus 17 ,600...

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