Question

Harlie is a hotel manager. Their responsibilities include renting rooms for conferences. The hotel charges $250 per day plus $15 per person for the grand ballroom.
Create a formula for the cost, C, in dollars, to rent the ballroom for any number of people for 1 day.
Hint: Use C for cost and n for the number of people. C = ________


How much should Charlie charge to rent the hall for 50 people? What about 100 people?




Rearrange your formula to express n in terms of C (rewrite your formula to solve for n)


How many people could attend a wedding reception if the planners have a budget of:
$4000


$2000

Answer 1

Answer:

Formula: C= $15n + $250

50 People: $1000

100 People: $1750

Formula: n= (C- $250)/ 15

$4000 Budget: 250 Guests

$2000 Budget: 116.67 Guests

Step-by-step explanation:

Since the rental is $250 with an additional charge of $15 per person, we write this as C = $250 + $15n.

With the given equation, simply substitute n for the amount of guests.

C = $250 + $15(50) = $1000

C = $250 + $15(100) = $1750

To solve for n, everything would need to be moved to isolate n. This can be achieved by first subtracting $250 from each side: C- 250= 15n

Then divide both sides by 15, making the new equation: (C-250)/15 = n

Again, substitute C with allowed cost to find the amount of guests allowed.

n = ($4000- 250)/ 15 = 250 People

n = ($2000-250)/15 = 116.67 People