Under his cell phone plan, Angel pays a flat cost of $35 per month and $5 per gigabyte. He wants to keep his bill under $50 per month. Write and solve an inequality which can be used to determine

x, the number of gigabytes Angel can use while staying within his budget.

1 answer

Let x be the number of gigabytes.

The cost of the gigabytes is 5x.

Angel's total bill is the flat cost plus the cost of the gigabytes, which is 35 + 5x.

We set up an inequality to represent the bill being under $50:
35 + 5x ≤ 50

Subtracting 35 from both sides:
5x ≤ 15

Dividing both sides by 5:
x ≤ 3

Therefore, Angel can use up to 3 gigabytes while staying within his budget.