Lily is saving up to buy a cell phone. She needs to save at least $300 before she’s able to buy the phone. Her grandfather gives her $40 and she earn $65 tutoring after school each week Reiten inequality for the number of weeks Lily will need to save to have at least $300 and describe the solutions.

1 answer

Let "w" be the number of weeks Lily will need to save.
Since Lily earns $65 per week, the amount of money she will earn after "w" weeks is 65w.
The amount of money she will have after "w" weeks is then given by: 40 + 65w.
To have at least $300, we can set up the inequality: 40 + 65w ≥ 300.
Subtracting 40 from both sides: 65w ≥ 260.
Dividing both sides by 65, we find: w ≥ 4.
Lily will need to save for at least 4 weeks to have at least $300.
The solutions to the inequality are all values of "w" greater than or equal to 4.