Final answer:
To find the maximum number of text messages you can send or receive next month, subtract the fixed cost from your budget and divide the remaining amount by the cost per text message.
Step-by-step explanation:
To find the maximum number of text messages you can send or receive next month, we need to determine how many text messages you can afford with your budget. Your cell phone plan costs $29.99 per month, which is a fixed cost. In addition, you are charged $0.16 for each text message.
Let's denote the maximum number of text messages as 'x'. So, the equation to express the total cost of your cell phone bill would be: 29.99 + 0.16x <= 36. To find the maximum value of 'x' that satisfies this inequality, we can subtract 29.99 from both sides of the equation: 0.16x <= 6.01.
Now, divide both sides by 0.16 to isolate 'x': x <= 37.56. Since you can't have a fraction of a text message, the maximum number of text messages you can send or receive next month is 37.