Your cell phone plan costs $39.99 per month plus $0.11 for each text message you send or receive. You have at most $44 to spend on your cell phone bill. What is the maximum number of text messages that you can send or receive next​ month?

Let's represent the number of text messages you can send or receive as x.

The cost of the cell phone plan is $39.99 per month.
The cost for text messages is $0.11 per message.

The total cost of the cell phone bill is given by the equation:

39.99 + 0.11x ≤ 44

Simplifying the equation:

0.11x ≤ 44 - 39.99

0.11x ≤ 4.01

To isolate x, divide both sides by 0.11:

x ≤ 4.01/0.11

x ≤ 36.45

So, the maximum number of text messages you can send or receive next month is 36.

To find the maximum number of text messages you can send or receive next month, we need to figure out how much of the $44 you have left after accounting for the fixed monthly cost of $39.99.

First, subtract the fixed monthly cost from the total budget:
$44 - $39.99 = $4.01

Now, let's determine how many messages you can send or receive with the remaining $4.01.

Since each message costs $0.11, divide the remaining budget by the cost per message:
$4.01 / $0.11 = 36.45

It's not possible to send or receive a fraction of a message, so we need to round down to the nearest whole number of messages.

Therefore, the maximum number of text messages you can send or receive next month is 36.

Let's denote the maximum number of text messages you can send or receive as "x".

The cost of the cell phone plan per month is $39.99, and the cost of each text message is $0.11. Therefore, your total monthly bill can be expressed as:

Bill = Cell phone plan cost + (Number of text messages * Cost per text message)

Substituting the given values, we get:

44 = 39.99 + (x * 0.11)

Now, let's solve this equation to find the maximum number of text messages:

44 - 39.99 = x * 0.11

4.01 = x * 0.11

x = 4.01 / 0.11

x ≈ 36.45

Therefore, the maximum number of text messages you can send or receive next month is approximately 36.