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Algebra 18 Online
OpenStudy (anonymous):

Help please ?

OpenStudy (anonymous):

OpenStudy (anonymous):

@ganeshie8 I only have 4 more questions ! D:

ganeshie8 (ganeshie8):

good :)

OpenStudy (anonymous):

Yay so you're willing to help ? :)

ganeshie8 (ganeshie8):

yes why not for a brilliant student like u, its easy to explain :)

OpenStudy (anonymous):

Great ! Thank you so so much ! You have no idea how much I appreciate it :)

ganeshie8 (ganeshie8):

ok, so Juliana has $24 in her pocket. and she wants to knw how many text messages she can send

OpenStudy (anonymous):

Right

ganeshie8 (ganeshie8):

she knows that \(f(x) = (3x+2)/4 \) gives the cost, when u put number of messages x into the equation

ganeshie8 (ganeshie8):

for example, if u have texted 10 messages cost wud be :- f(10 ) = (3(10)+2)/4 = 32/4 = 8 so it wil cost u $8 just to text 10 msgs... pretty costly !!

OpenStudy (anonymous):

Okay makes sense !

ganeshie8 (ganeshie8):

but thats not wat we want, here our task is to find a function, into which we can plugin the MONEY we have, and it should tell us how many TEXTS we can message

OpenStudy (anonymous):

I tried working it out and got 18.5 ..

ganeshie8 (ganeshie8):

right ?

OpenStudy (anonymous):

I think I'm getting ahead of myself here haha i apologize

OpenStudy (anonymous):

And yes , right :)

ganeshie8 (ganeshie8):

its okay, but 18.5 messages for $24 doesnt look correct

ganeshie8 (ganeshie8):

let me show u how to do this step by step

OpenStudy (anonymous):

Please and thank you !

ganeshie8 (ganeshie8):

given equaiton :- \(y = f(x) = (3x+2)/4 \) here, x is number of texts, y is dollars

ganeshie8 (ganeshie8):

since you wanto know how many texts u can send, you need to solve x above.

ganeshie8 (ganeshie8):

\(y = (3x+2)/4\) solve x

OpenStudy (anonymous):

How would I start off ?

ganeshie8 (ganeshie8):

multiply 4 both sides

OpenStudy (anonymous):

4(3x+2) ?

ganeshie8 (ganeshie8):

\(y = (3x+2)/4\) multiply 4 both sides \(4y = 3x+2\)

ganeshie8 (ganeshie8):

next, subtract 2 both sides

ganeshie8 (ganeshie8):

\(y=(3x+2)/4 \) multiply 4 both sides \(4y=3x+2\) subtract 2 both sides \(4y-2 = 3x\) divide 3 both sides \(\large \frac{4y-2}{3} = x\)

ganeshie8 (ganeshie8):

now, replace x and y (just do it, il tell you later why :))

ganeshie8 (ganeshie8):

replace x & y \(\large \frac{4x-2}{3} = y \) \(\large y = \frac{4x-2}{3} \)

OpenStudy (anonymous):

Isn't it to put the equation in the correct form ?

ganeshie8 (ganeshie8):

thats the required function, where u need to plugin x=$24, and it gives u number of text messages u can send !

ganeshie8 (ganeshie8):

exactly ! you're right, we replace x and y, to put the function in right form :)

OpenStudy (anonymous):

Yay :D

ganeshie8 (ganeshie8):

put x = 24, and see how many messages she can send

OpenStudy (anonymous):

Wait so that's the answer ?

ganeshie8 (ganeshie8):

yes thats the required function ! since the question wants u to explain, explain wat we did so far :)

ganeshie8 (ganeshie8):

btw, for $24, she can send :- \(\large y = \frac{4x-2}{3}\) \(\large y = \frac{4(24)-2}{3}\) \(=33\)

ganeshie8 (ganeshie8):

sorry, that should be 31, so she can send 31 messages

OpenStudy (anonymous):

So with $24 she can send 33 text messages ?

ganeshie8 (ganeshie8):

*31

OpenStudy (anonymous):

Oh okay :) So everything we just worked through is the answer basically ? Because it says to put in complete sentences

ganeshie8 (ganeshie8):

yes ! ima hav dinner... brb :)

OpenStudy (anonymous):

Haha okay !

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