Question

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)
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.

__ x+ ___ ≥ ___

Answer 1

To create the inequality based on the information provided:

1. Lily starts with $40 from her grandfather.
2. She earns $65 for each week she tutors.
3. She needs at least $300 in total.

Let \( x \) represent the number of weeks Lily will save.

The total amount she saves after \( x \) weeks can be expressed as:
\[ 40 + 65x \]

We want this amount to be at least $300, so we set up the inequality:
\[ 40 + 65x \geq 300 \]

Now, to fit it into the format you provided:

__ x + 65 ≥ 300 - 40 __

This simplifies to:

__ x + 65 ≥ 260 __

So, the complete response would be:

__ x + 65 ≥ 260 __.