Lily is saving up to buy a cellphone she needs to save at least 300 before she is able to buy the phone her grandmother gives her 40 and she earns 65 tutoring after school each week write an inequality for the number of weeks lily will need to save to have at least 300 and describe the solutions
Let's assume that Lily needs to save for "w" weeks.
The amount Lily has saved from her grandmother is a constant, which is 40.
The amount she earns from tutoring after school each week is also constant, which is 65.
So, the total amount Lily will save in "w" weeks can be expressed as 65w + 40.
Since Lily needs to save at least 300, we can write the inequality as:
65w + 40 ≥ 300
Now, let's solve for "w" using this inequality:
65w + 40 ≥ 300
Subtract 40 from both sides:
65w ≥ 260
Divide both sides by 65 (since 65 is a positive number, the inequality sign doesn't change):
w ≥ 4
Therefore, the inequality for the number of weeks Lily will need to save to have at least 300 is w ≥ 4.
The solutions to this inequality are all the whole numbers greater than or equal to 4. In other words, Lily will need to save for a minimum of 4 weeks.