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Answer 1 · 2017-09-08T08:52:51

$158$ minutes

Carlos pays a monthly fee of $$6$ . In a mathematical function, this would be represented by a constant of $6$ .

He also pays $8$ cents, or $$0.08$ , per minute spoken. If $x$ were the number of minutes spoken, this would be represented by $0.08 x$ .

Overall, Carlos' long distance bill can be represented by the function:

$f(x) = 0.08 x + 6$ ; where $f(x)$ is the long distance bill, and $x$ is the number of minutes spoken.

Last month, his long distance bill was $$18.64$ .

Let's replace $f(x)$ with $18.64$ :

$Rightarrow 18.64 = 0.08 x + 6$

If we solve for $x$ , we will find the number of minutes for which Carlos was billed:

$Rightarrow 12.64 = 0.08 x$

$Rightarrow 158 = x$

$therefore x = 158$

Therefore, Carlos was billed for $158$ minutes.