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Aliyah wants to collect over 90 seashells. She already has 30 seashells in her collection. Each day, she finds 10 more seashells on the beach. Katie can use fractions of days to find seashells. Write an inequality to determine the number of days, d, it will take Katie to collect over 90 seashells?

User Menda
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Final answer:

To determine the number of days, d, it will take for Aliyah to collect over 90 seashells, given her initial amount and daily collection rate, the inequality is 30 + 10d > 90.

Step-by-step explanation:

The question asks to write an inequality to determine the number of days, d, it will take Aliyah to collect over 90 seashells given that she already has 30 seashells and collects 10 more seashells each day. The inequality that represents this situation is: 30 + 10d > 90

Let's break it down step by step:

  1. Aliyah starts with 30 seashells, so this is our starting number.
  2. Each day she finds 10 more seashells, so the daily increase is 10, represented by 10d where d is the number of days.
  3. To have more than 90 seashells, we write the inequality as 30 + 10d > 90. This shows that we want the total number of seashells to be greater than 90.

To solve the inequality, you would subtract 30 from both sides and then divide by 10 to find the number of days needed. If the question is only about writing the inequality, the specific solution is not needed.

User Unclechu
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