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.

She can get $24 for 31 texts.

Step-by-step explanation:

Let's convert the verbal expression into algebraic expression.

f(x) = the quantity of 3x plus 2, divided by 4

f(x) = , where "x" represents the number of texts.

Here f(x) = y

So y =  

Now let's find the inverse function.

Step 1: Replace "x" by "y" and "y" by "x".

x =

Step 2: Write y in terms of x.

Multiply both sides by 4, we get

Subtract 2 from both sides, we get

Dividing both sides by 3, we get

In the inverse function "x" represents the cost and y represents the number of texts.

So plug x = 24 in the inverse function and find the value of "y".

y =

The number of sentences must be a whole number.

So she can get $24 for 31 texts.

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !

hard

step-by-step explanation: