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 Lily will need to save to have at least $300.(1 point)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
x + ≥ , where x is the number of weeks Lily will need to save.
Question 2
Solve the inequality you wrote above. What is the minimum amount of weeks she will need to save in order to buy the new phone?(1 point)
Responses

2 weeks
2 weeks

3 weeks
3 weeks

4 weeks
4 weeks

5 weeks

Answer 1

To set up the inequality based on the information provided:

Lily's initial amount of money from her grandfather is $40. She earns $65 each week from tutoring. Let \( x \) be the number of weeks she tutors.

We want her total savings to reach at least $300, so the inequality can be set up as follows:

\[ 40 + 65x \geq 300 \]

Now, we can solve for \( x \):

1. Subtract 40 from both sides: \[ 65x \geq 300 - 40 \] \[ 65x \geq 260 \]

2. Divide both sides by 65: \[ x \geq \frac{260}{65} \] \[ x \geq 4 \]

Thus, Lily needs to save for at least 4 weeks in order to buy the new phone.

Here are the responses for the inputs:

1. For the inequality:
   • \( x + 40 \geq 300 \)
2. Minimum amount of weeks she will need to save:
   • 4 weeks