Question

Joel uses recycled materials to build and sell art sculptures. For s small sculptures, his revenue is modeled by r(s) = 45s and his cost is modeled by c(s) = 10 + 3.5s.

Which function is Joel’s profit function?

p(s) = 10 – 41.5s

p(s) = 10 + 48.5s

p(s) = 41.5s – 10

p(s) = 48.5s – 10

Answer 1

@ganeshie8

Answer 2

quick question,
do you know what the term `revenue` means ?

Answer 3

There income right?

Answer 4

Kindof, revenue is the monety that comes from Sales

Answer 5

Thats what I meant

Answer 6

Right, so how to find `profit` function when they give you `revenue` and `cost` functions ?

Answer 7

I'm kind of confused because i was thinking just add. But are they talking about the cost that he had to take out, materials to buy. Then it says he uses recycled material. Therefore he doesn't spend any money of buying materials. So would you add both rev. and cost? I don't think you do, but just asking

Answer 8

Very good, you're paying attention to details, which is nice :)

I think we should subtract the cost because he may be paying building rent / electricity bills right ?

Answer 9

Thank you, oh okay so cost=10+3.5 =13.5 and of rev= 45s. Subtract 45-13.5=31.5 which is not a choice,. 45-10=35 not an option. 4-10+3.5=38.5 also not an option.

Wait 45-3.5 is 41.5
10- 41.5?

Answer 10

Remember this phrase when you're in algebra :
we cannot add coconuts and oranges

Answer 11

when we count number of coconuts and oranges in a bag,

we add coconuts to coconuts
we add oranges to oranges

Answer 12

In algebra also, we only add `like terms` together

Answer 13

r(s) = 45s
c(s) = 10 + 3.5s

p(s) = r(s) - c(s)
= 45s - (10 + 3.5s)
= 45s - 10 - 3.5s

Answer 14

you need to treat the terms containint "s" as a different species

Answer 15

you can't subtract 45s and 10 ok

Answer 16

*containing

Answer 17

45 and 3.5 s are the like terms therefore I add 45+3.5=48.5s
Then the 10, I just say 10-48.5s that would be dividing. Because of that s

Answer 18

Still wrong,
we need to subtract cost from the revenue

Answer 19

the cost is 10 ok 10 - 48.5 is 38.5

Answer 20

Nope, start over

Answer 21

r(s) = 45s
c(s) = 10 + 3.5s

First, can you write a statement for the profit, p(s) ?

Answer 22

p/s ratio?

Answer 23

no, you have said earlier that profit equals revenue minus cost right ?

Answer 24

yes, but what i keep subtracting isn't right. So I don't know what to do

Answer 25

lets go step by step,

profit = revenue - cost
= 45s - (10 + 3.5s)

fine till here ?

Answer 26

i have just substitute the expressions for revenue and cost

Answer 27

45s - (10+3.5s )
Like you said I cant ad apples and oranges
I can't add 10+3.5 because of the s
So if I do okay 45s - (13.5)=31.5

Answer 28

you can't add 10 and 3.5s
but you can surely combine 45s and 3.5s

Answer 29

let me just show you next step

Answer 30

maybe let me just give you the complete solution and see if you follow it

Answer 31

I did add 45s and 3.5 =48.5
I thought you said that was wrong

Answer 32

r(s) = 45s
c(s) = 10 + 3.5s

p(s) = r(s) - c(s)
= 45s - (10 + 3.5s)
= 45s - 10 - 3.5s
= (45s - 3.5s) - 10
= 41.5s - 10

Answer 33

I had 41.5 -10 Up top

Answer 34

I get why you said it was wrong I had 10-41.5 not 41.5-10

Answer 35

C Right?

Answer 36

Thank you

Answer 37

C is correct! nice job staying till the end :)