Your cell phone plan costs $34.99 per month plus $0.17 for each text message you send or receive. You have at most $41 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 call the number of text messages you can send or receive x.
The cost of your cell phone plan is $34.99.
The cost of sending or receiving x text messages is 0.17x.
So, the total cost of sending or receiving x text messages is $34.99 + 0.17x.
Since you have at most $41 to spend, we can set up the inequality:
$34.99 + 0.17x ≤ $41
Subtracting $34.99 from both sides of the inequality, we get:
0.17x ≤ $6.01
Dividing both sides of the inequality by 0.17, we get:
x ≤ 35.35
Therefore, the maximum number of text messages you can send or receive next month is 35. Answer: \boxed{35}.
To find the maximum number of text messages you can send or receive next month within your budget of $41, we need to subtract the monthly plan cost from your total budget first.
Total Budget - Monthly Plan Cost = Amount available for text messages
$41 - $34.99 = $6.01
Now, we divide the balance available for text messages by the cost of each individual text message to determine the maximum number of text messages you can send or receive.
Amount available for text messages / Cost per text message
$6.01 / $0.17 = 35.35
Since you cannot have a fraction of a text message, the maximum number of text messages you can send or receive next month is 35.
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 within your budget of $41.
Let's start by subtracting the fixed cost of your cell phone plan from your budget:
$41 - $34.99 = $6.01
Now we need to determine how many text messages you can afford with that amount, considering each text message costs $0.17.
We can set up an equation to represent this situation:
$6.01 = $0.17 * x
Where x represents the number of text messages.
To solve for x, we can isolate it by dividing both sides of the equation by $0.17:
$6.01 / $0.17 = x
Using a calculator, we can divide $6.01 by $0.17:
35.35 ≈ x
Therefore, you can afford a maximum of approximately 35 text messages next month, given your budget of $41.