Question
Walter wants computer software that costs $129. He has $57 saved already. If he saves a maximum of $15 each week (x) the following inequality can be used to find how many weeks, it will take Walter to save money to but the software. What is the solution to the inequality?
15x+57≥129
15x+57≥129
Answers
GPT 3.5
To find the solution to the inequality, we need to isolate the variable x.
We can start by subtracting 57 from both sides of the inequality:
15x ≥ 129 - 57
which simplifies to:
15x ≥ 72
Next, we can divide both sides of the inequality by 15:
x ≥ 72 / 15
which simplifies to:
x ≥ 4.8
Since Walter cannot have a fraction of a week, the minimum number of weeks it will take him to save enough money to buy the software is 5 weeks.
Therefore, the solution to the inequality is x ≥ 5.
We can start by subtracting 57 from both sides of the inequality:
15x ≥ 129 - 57
which simplifies to:
15x ≥ 72
Next, we can divide both sides of the inequality by 15:
x ≥ 72 / 15
which simplifies to:
x ≥ 4.8
Since Walter cannot have a fraction of a week, the minimum number of weeks it will take him to save enough money to buy the software is 5 weeks.
Therefore, the solution to the inequality is x ≥ 5.