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The cell phone company allows all users 450 text messages a month. Any text messages over the allowed amount are charged $0.25 per message. Craig only has $26 extra to sped on his cell phone bill. how many messages can he go over the allowed amount for the month without breaking his budget of $26? Let p represent the amount of text messages Craig can go over.

Inequality: ___________
Craig can send and receive ______________ extra text messages without breaking his budget of $26

User Zoruc
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2 Answers

3 votes

Answer: he can go over by 104

Step-by-step explanation:Total cost = $0 + $0.25x

Total cost = $0.25x

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

have a good day

User LosManos
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7.8k points
1 vote

Let's first find the total cost of the text messages Craig can send in a month. Craig is allowed to send 450 text messages without any additional charges. If he sends more than that, he will be charged $0.25 per message. Let's say he sends x additional messages over the 450 allowed:

Cost of additional messages = $0.25 * x

So, the total cost of Craig's text messages in a month is:

Total cost = Cost of allowed messages + Cost of additional messages

Total cost = $0 + $0.25x

Total cost = $0.25x

We know that Craig has a budget of $26 for his cell phone bill. We can set up an equation to represent this:

Total cost ≤ $26

Substituting the expression for the total cost of Craig's text messages, we get:

$0.25x ≤ $26

Dividing both sides by $0.25:

x ≤ 104

Therefore, Craig can go over the allowed amount by at most 104 text messages without breaking his budget of $26.

User Corey Trager
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7.7k points