Question

Can someone check these?

Answer 1

The second is correct.

Answer 2

Do you mean the first?

Answer 3

Yes

Answer 4

I'm not quite sure. I'm sorry.

Answer 5

Okay thanks.

Answer 6

the first one is not correct

for the price varies inversely with the number of people
so
\(price \propto \large \frac{1}{number~of~guys}\)
\(price =\large \frac{k}{number~of~guys}\)
where k is a constant

for 44 people
\(30= \frac{k}{44}\)
-> \(k=30 \times 44\)

for 55 people->
\(price= \frac{k}{55}\)
\(price=\frac{44 \times 30}{55}\)
price= 24

Answer 7

I had a feeling that the price wouldn't drop that much for a difference of 12 people, but I wasn't quite sure how to work it out. Hope this helps!

Answer 8

Thanks @imqwerty

Answer 9

Hey thanks for the amazing explanation! I must have messed up in my calculations somewhere. @imqwerty

Answer 10

np =]

Answer 11

Hey can you guys look at this one? @mathmate

Answer 12

Can we finish the first one first?

Answer 13

Oh yeah sure.. I thought we already did...?! o.O

Answer 14

Are you familiar with translations and asymptotes?

Answer 15

Yes I am!

Answer 16

Good!
Can you tell me if I have a parent function f(x)=x^2 with vertex originally at (0,0),
and I would like to have the vertex at (3,2). What do I need to do?

Answer 17

Yess the parent function is f(x)=x^2 anddd are you asking me to graph it for you? btw which problem are you referring to?

Answer 18

Or, what is the equation of translated function g(x) that has the vertex at (3,2)?

Answer 19

It is a separate example to see if you grasped the concept of translation.
If you do, you will find the second part of the first problem easy.

Answer 20

If not, I'll take the time to explain.

Answer 21

Uhh yeah.. you kind of lost me... if you dont mind.

Answer 22

Ok.
We have a parent function f(x)=x^2.
The vertex is originally at (0,0).
We'd like to translate the graph f(x) so that the vertex is at (3,2).
So far, you follow?

Answer 23

Okay so since they're both positive we know they translate upward?

Answer 24

Good, we are translating upward and to the right.
Can you tell me by how much in each direction?

Answer 25

up 3 right 2

Answer 26

(3,2) means (x,y), so 3 along x, and 2 along y.
Can you try again?

Answer 27

im not sure.

Answer 28

X is the horizontal (right) direction, and Y is the vertical (up) direction.
Since (x,y)->(3,2), we are moving it 3 units to the right, and 2 units up.
Would that be clear?

Answer 29

Yes... but what problem is this???

Answer 30

As I said, it is an example to help you understand what you're doing.
You need to understand to solve similar problems.

Answer 31

Ohhh lol okay thank you!

Answer 32

Next step is to understand how the translation of a function works.
To translate f(x) 3 units to the right, and 2 units up, you need to modify f(x), and I'll call the modified function g(x).

Answer 33

To do the translation, g(x)=(x-3)^2+2.
In general, if we translate by (h,k), then g(x)=(x-h)^2+k

Answer 34

@Allieeslabae
Tag me if you still want to continue.