Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30. Which best describes the possible values of t, the number of texts he can send or receive? t can be any real number where 0 ≤ t < 75. t can be any whole number where 0 ≤ t < 75. t can be any real number where 0 ≤ t < 150. t can be any whole number where 0 ≤ t < 150.

Paco's cell phone carrier charges him $0.20 for each text message he sends or receives, $0.15 per minute for calls, and a $15 monthly service fee. Paco is trying to keep his bill for the month below $30.

The fixed fee is $15.

So, he has a limit left[tex]30- 15[/tex] = $15 for his monthly calls and texts.

That is, the amount he has to pay for texting and calling has to be less than $15.

For texts, Paco is charged $0.20 for sending/receiving texts.

For calls, he is charged $0.15 per minute.

Let 't' represents the number of texts.

Let 'c' represents the number of calls.

Equation forms:

[tex]0.20t+0.15c<15[/tex]

For Paco to send a maximum number of texts, he has to spend 0 minutes on calls.

Substituting c = 0

[tex]0.20t<15[/tex]

[tex]t<75[/tex]

That is, Paco has to send and receive less than 75 texts.

So, the inequality that best describes the number of texts Paco can send or receive to keep his bill less than $30 in a month is:

[tex]0\leq t<75[/tex]