Under his cell phone plan, Carlos pays a flat cost of $57 per month and $5 per gigabyte. He wants to keep his bill under $65 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Carlos can use while staying within his budget.

Answer 1

Let x be the number of gigabytes Carlos can use.

According to the information given, Carlos pays a flat cost of $57 per month and $5 per gigabyte. Thus, the total cost in dollars per month is given by the equation: 57 + 5x.

Carlos wants to keep his bill under $65 per month. Therefore, we can write the inequality:

57 + 5x < 65.

Simplifying the inequality gives:

5x < 65 - 57,
5x < 8.

Finally, solving for x gives:

x < 8/5.

Thus, Carlos can use any number of gigabytes less than 8/5 to stay within his budget.