Under her cell phone plan, Ella pays a flat cost of $49 per month and $5 per gigabyte. She wants to keep her bill under $60 per month. Write and solve an inequality which can be used to determine gg, the number of gigabytes Ella can use while staying within her budget.
Let gg be the number of gigabytes Ella can use while staying within her budget.
The total cost, C, can be found by adding the flat cost of $49 per month to the cost of the gigabytes used: C = $49 + $5*gg.
To keep her bill under $60 per month, the total cost should be less than or equal to $60: C ≤ $60.
The inequality for Ella's situation can be written as:
$49 + $5*gg ≤ $60.
Simplifying the inequality:
$5*gg ≤ $60 - $49,
$5*gg ≤ $11.
Dividing both sides of the inequality by $5:
gg ≤ $11/$5,
gg ≤ 2.2.
Therefore, Ella can use a maximum of 2.2 gigabytes to stay within her budget. However, since we cannot have a fraction of a gigabyte, Ella can effectively use a maximum of 2 gigabytes to stay within her budget.