Under her cell phone plan, Latanya pays a flat cost of $35 per month and $4 per gigabyte. She wants to keep her bill under $55 per month. Write and solve an inequality which can be used to determine xx, the number of gigabytes Latanya can use while staying within her budget.

Answer 1

The inequality can be written as:

$35 + $4x ≤ $55

Where x represents the number of gigabytes Latanya can use.

Simplifying the inequality:

$4x ≤ $55 - $35

$4x ≤ $20

Divide both sides of the inequality by 4:

x ≤ 20/4

x ≤ 5

So, Latanya can use up to 5 gigabytes while staying within her budget.