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

Question

Rodolfo

Mathematics

22 March, 00:46

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

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Andre Lindsey · Answer 1

The correct answer for this question is " She can predict 18 texts."

f (x) = (3x + 2) / 4

y = (3x + 2) / 4

Do the inverse:

x = (3y + 2) / 4

4x = 3y + 2

4x - 2 = 3y

y = (4x - 2) / 3

given that y = $24

y = (4x - 2) / 3

24 = (4x - 2) / 3

72 = 4x - 2

74 = 4x

x = 18.5

She can predict 18 texts.