Lily is saving up to buy a cellphone. She needs to save at least $300 before she is able to buy the phone. Her grandfather gives her $40, and she earns $65 tutoring after school each week. Write an inequality for the number of weeks Lilly will need to save to have at least $300, and describe the solutions
Let x be the number of weeks Lily will need to save.
The amount of money Lily earns after x weeks of tutoring is given by the expression 65x.
The total amount of money Lily has, including the $40 given by her grandfather, is 40 + 65x.
To meet her goal of saving at least $300, the inequality is:
40 + 65x ≥ 300.
The solutions to this inequality represent the number of weeks Lily will need to save in order to have at least $300.
can you solve the inequality
Yes, I can solve the inequality for you.
40 + 65x ≥ 300
Subtract 40 from both sides to isolate the term with x:
65x ≥ 300 - 40
65x ≥ 260
Divide both sides by 65:
x ≥ 260/65
x ≥ 4
The solution to the inequality is x ≥ 4. This means that Lily will need to save for at least 4 weeks to have at least $300.