Question

@mathstudent55

My answer is C, can you check it please?

Answer 1

@ganeshie8

Answer 2

cost, C, is inversely proportional to number of people, P

\(C = \dfrac{k}{P}\)

Use the given number of people and cost above to find k.
What is k?

Answer 3

So I would take 55 and $30?

Answer 4

No. Read carefully.
55 people is part of the question.
How much would the cost be for 55 people.
The given info is $30 per person for 44 people.

Answer 5

Ohh okay.

So I would do 44 and $30?

Answer 6

Yes.
Use 44 and 30 in the equation above and find k.

Answer 7

I did 44/30 and got 1.46

Answer 8

Wait.

30 = k/P

44-30=14 which means that k must be 14?

Answer 9

No.

Let me explain again.

An inverse relation has the form

\(y = \dfrac{k}{x} \), where k is a number.

In our case, we are trying to relate the cost per person, C, to the number of people, P.
We are told it is an inverse relation, so we follow the inverse relation pattern:

\(C = \dfrac{k}{P} \)

k is a number, but we don't yet know what it is.

Answer 10

\[30 = \frac{ k }{ 44}\]

Answer 11

The problem tells us that the cost is $30 when there are 44 people.
That means, for P = 44, we have C = 30.
We plug in 44 for P and 30 for C and find k.

Answer 12

Exactly.
Now you're getting it.
Now solve for k.

Answer 13

Would k be 14? Because 44-30 equals 14?

Answer 14

There is no subtraction or addition in this equation.
You want k.
What is happening to k?
k is being divided by 44.
You want to undo the division by 44.
The opposite operation to division is multiplication.
To undo the division by 44, you multiply by 44.
In an equation, you must do the same operation to both sides, so multiply both sides by 44.