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LaynaMae
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LaynaMae
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@ganeshie8 I only have 4 more questions ! D:
ganeshie8
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good :)
LaynaMae
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Yay so you're willing to help ? :)
ganeshie8
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yes why not for a brilliant student like u, its easy to explain :)
LaynaMae
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Great ! Thank you so so much ! You have no idea how much I appreciate it :)
ganeshie8
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ok, so Juliana has $24 in her pocket. and she wants to knw how many text messages she can send
LaynaMae
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Right
ganeshie8
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she knows that \(f(x) = (3x+2)/4 \) gives the cost, when u put number of messages x into the equation
ganeshie8
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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 !!
LaynaMae
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Okay makes sense !
ganeshie8
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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
LaynaMae
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I tried working it out and got 18.5 ..
ganeshie8
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right ?
LaynaMae
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I think I'm getting ahead of myself here haha i apologize
LaynaMae
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And yes , right :)
ganeshie8
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its okay, but 18.5 messages for $24 doesnt look correct
ganeshie8
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let me show u how to do this step by step
LaynaMae
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Please and thank you !
ganeshie8
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given equaiton :-
\(y = f(x) = (3x+2)/4 \)
here, x is number of texts, y is dollars
ganeshie8
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since you wanto know how many texts u can send, you need to solve x above.
ganeshie8
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\(y = (3x+2)/4\)
solve x
LaynaMae
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How would I start off ?
ganeshie8
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multiply 4 both sides
LaynaMae
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4(3x+2) ?
ganeshie8
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\(y = (3x+2)/4\)
multiply 4 both sides
\(4y = 3x+2\)
ganeshie8
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next, subtract 2 both sides
ganeshie8
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\(y=(3x+2)/4 \)
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
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now, replace x and y (just do it, il tell you later why :))
ganeshie8
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replace x & y
\(\large \frac{4x-2}{3} = y \)
\(\large y = \frac{4x-2}{3} \)
LaynaMae
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Isn't it to put the equation in the correct form ?
ganeshie8
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thats the required function, where u need to plugin x=$24, and it gives u number of text messages u can send !
ganeshie8
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exactly ! you're right, we replace x and y, to put the function in right form :)
LaynaMae
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Yay :D
ganeshie8
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put x = 24, and see how many messages she can send
LaynaMae
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Wait so that's the answer ?
ganeshie8
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yes thats the required function ! since the question wants u to explain, explain wat we did so far :)
ganeshie8
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btw, for $24, she can send :-
\(\large y = \frac{4x-2}{3}\)
\(\large y = \frac{4(24)-2}{3}\)
\(=33\)
ganeshie8
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sorry, that should be 31, so she can send 31 messages
LaynaMae
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So with $24 she can send 33 text messages ?
ganeshie8
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*31
LaynaMae
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Oh okay :) So everything we just worked through is the answer basically ? Because it says to put in complete sentences
ganeshie8
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yes ! ima hav dinner... brb :)
LaynaMae
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Haha okay !