Question

Pre-Cal question

Answer 1

@welshfella

Answer 2

I don't understand :(

Answer 3

`Rachel can make 3 bracelets in an hour.`

so can you tell how many bracelets she makes in 2 hours ?

Answer 4

6

Answer 5

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

Answer 6

30

Answer 7

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

Answer 8

Hmm..I dont know about that one

Answer 9

simply multiply "x" by 3

Answer 10

so 3x?

Answer 11

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

Answer 12

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

Answer 13

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

Answer 14

Ah! Ok I see

Answer 15

`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 ?

Answer 16

10

Answer 17

how ?

Answer 18

he can only make 2 bracelets per hour right

Answer 19

yes

Answer 20

so how did u get 10

Answer 21

2 times 5

Answer 22

where did u get 5 from

Answer 23

try again

Answer 24

`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 ?

Answer 25

4

Answer 26

@ganeshie8

Answer 27

@paki

Answer 28

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 ?

Answer 29

yes

Answer 30

how many bracelets will he be having in 10 hours ?

Answer 31

um..20?

Answer 32

20, and add the starting 5 to get 25

Answer 33

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

Answer 34

25x

Answer 35

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

Answer 36

we're very much on the point

Answer 37

25x is wrong, try again

Answer 38

20x

Answer 39

plugin x = 2

20*2 = 40

does he really make 40 bracelets in 2 hours ?

Answer 40

no

Answer 41

5x

Answer 42

no try again, you're close

Answer 43

4x

Answer 44

Lol I give up

Answer 45

Alright! stop guessing

Answer 46

Will do

Answer 47

`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
\[y=2x+5\]

Answer 48

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

Answer 49

Oh! Lol NOW I get it

Answer 50

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

Answer 51

do you know how to solve it ?

Answer 52

Should we actually solve it?

Answer 53

graphing

Answer 54

better solve it

Answer 55

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 ?

Answer 56

x=5

Answer 57

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

Answer 58

yay! I love you ganeshie8!

Answer 59

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

Answer 60

wil try, please close this and open a new post