Pre-Cal question

- anonymous

Pre-Cal question

- schrodinger

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- anonymous

- anonymous

I don't understand :(

- ganeshie8

`Rachel can make 3 bracelets in an hour.`
so can you tell how many bracelets she makes in 2 hours ?

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## More answers

- anonymous

6

- ganeshie8

good, one more question
how many bracelets she makes in 10 hours ?

- anonymous

30

- ganeshie8

Excellent! how about this
how many bracelets she makes in "x" hours ?

- anonymous

Hmm..I dont know about that one

- ganeshie8

simply multiply "x" by 3

- anonymous

so 3x?

- ganeshie8

thats it!
Rachel's function for number of bracelets made in "x" hours is
\[y = 3x\]

- ganeshie8

notice that if you plugin x=2,
you do get y = 3*2 = 6 as expected

- ganeshie8

similarly we need to setup an equation for Oliver based on given info

- anonymous

Ah! Ok I see

- ganeshie8

`Oliver can make only 2 bracelets in an hour, but he already has 5 completed bracelets`
can you tell me how many bracelets Oliver will be having after 2 hours ?

- anonymous

10

- ganeshie8

how ?

- ganeshie8

he can only make 2 bracelets per hour right

- anonymous

yes

- ganeshie8

so how did u get 10

- anonymous

2 times 5

- ganeshie8

where did u get 5 from

- ganeshie8

try again

- ganeshie8

- anonymous

4

- anonymous

- anonymous

- ganeshie8

yes he can make 4 bracelets in 2 hours
but he already has 5 to start with,
so in total he will be having 4 + 5 = 9, yes ?

- anonymous

yes

- ganeshie8

how many bracelets will he be having in 10 hours ?

- anonymous

um..20?

- ganeshie8

20, and add the starting 5 to get 25

- ganeshie8

so how many bracelets will he be having in "x" hours ?

- anonymous

25x

- anonymous

@ganeshie8 Please get to the point, I have to go soon

- ganeshie8

we're very much on the point

- ganeshie8

25x is wrong, try again

- anonymous

20x

- ganeshie8

plugin x = 2
20*2 = 40
does he really make 40 bracelets in 2 hours ?

- anonymous

no

- anonymous

5x

- ganeshie8

no try again, you're close

- anonymous

4x

- anonymous

Lol I give up

- ganeshie8

Alright! stop guessing

- anonymous

Will do

- ganeshie8

`Oliver can make only 2 bracelets in an hour`,
2 bracelets per hour, so the function will be \(y = 2x\)
`but he already has 5 completed bracelets`
adding this the overall function for Oliver is
\[y=2x+5\]

- ganeshie8

so the system of equations is
\[y = 3x\\y=2x+5\]

- anonymous

Oh! Lol NOW I get it

- ganeshie8

Good :)
Rachel needs to solve this system to find the time at which her bracelets equal Oliver's

- ganeshie8

do you know how to solve it ?

- anonymous

Should we actually solve it?

- anonymous

graphing

- ganeshie8

better solve it

- ganeshie8

solving is easy \[y = 3x\\y=2x+5\]
since the left hand sides are same, the right hand sides also must be same :
\[3x = 2x+5\]
solve \(x\), can you ?

- anonymous

x=5

- ganeshie8

Excellent! so after 5 hours both Rachel and Oliver will be having same number of bracelets

- anonymous

yay! I love you ganeshie8!

- anonymous

wanna answer another? I have the answer, I just need to check

- ganeshie8

wil try, please close this and open a new post

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