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)

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x + ≥ , where x is the number of weeks Lily will need to save.

__ x+ ___ ≥ ___

1 answer

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 __.