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anonymous
 one year ago
I'll give a medal again please help!!
Juliana has created the function f(x) = the quantity of 3x plus 2, divided by 4 to represent the cost of texting on her current plan, where x represents the number of texts. Juliana discovers that, using the inverse function to solve for x = 24, she can predict how many texts she can use for $24. Explain to Juliana how to accomplish this, using complete sentences.
anonymous
 one year ago
I'll give a medal again please help!! Juliana has created the function f(x) = the quantity of 3x plus 2, divided by 4 to represent the cost of texting on her current plan, where x represents the number of texts. Juliana discovers that, using the inverse function to solve for x = 24, she can predict how many texts she can use for $24. Explain to Juliana how to accomplish this, using complete sentences.

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0The equation that Juliana created is \[f(x)=\frac{ 3x+2 }{ 4 }\]. Plug in 24 for x. She wants to be able to know the amount of texts she can send with $24. Solve the equation by dividing.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so it would 3x+2= 4 right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0So I just realized that your problem says find the inverse function.. Okay, to find the inverse of the function, you need to set f(x) into y and exchange the positions of y and x in the equation then solve for y. \[f(x)=\frac{ 3x+2 }{ 4 }\] would turn into \[y=\frac{ 3x+2 }{ 4 }\] \[x=\frac{ 3y+2 }{ 4 }\] From here, isolate the y value.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0By isolating the value, you need to put 3y on one side of the equation.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Work from \[x=\frac{ 3y+2 }{ 4 }\] Isolate the y by multiplying both sides of the equation with 4. By multiplying both sides of the equation by 4, it will cancel out dividing the 4 on the y side.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0After you've multiplied both sides by 4, the equation is now 4x = 3y + 2. You have to subtract 2 from both sides of the equation again to isolate y.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do i subtract the 2 from the y or x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You subtract them from both.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You have to get y by itself. After you've subtract 2 from both sides, 3y is still on one side of the equation. How would you get 3y to turn into y?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0by multiply the 3y right

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0No, you divide the 3y to get 3. Now, the equation is \[y = \frac{ 4x+2 }{ 3y }\] That's the inverse function of the original function that Juliana created. Now, plug in 24 for x.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0"\[x=\frac{4x2 }{ 3 }\]" sorry my mistake

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Do you want to this in private chat?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Plug in 24 for x. That's the last calculation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[x=\frac{4(24)2 }{ 3 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok i check that and divide it i got a decimal , is that fine?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0You possibly can't have a decimal as the answer. Julianna can't send a half of a text. You need to calculate the numerator first. Then, divide the numerator by the denominator.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0But there's still a decimal

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Well, try to do the first part of the actual equation. What is 4 * 24?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.096  2 is 94. Divide by 3. Round your answer so that it doesn't have any decimals.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0did you get your medal?
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