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Beth needs to do a speech in her English class that can’t be more than 5 minutes long. She timed herself when she practiced last night and was within the time limit. In class her speech was 15 seconds less than the one that she did at home

Sagot :

Beth's speech at home ≤ 5 minutes and the duration at school is 15

seconds less than the duration of her speech at home, we have;

  • The inequality that shows the situation correctly is x ≤ 4.75 minutes
  • The possible times, t, for her speech at school are; 4.75 minutes, 4.5 minutes, and 4.0 minutes

What inequality can be used to represent the situation?

The possible question options are to complete the statements;

The inequality that shows the situation correctly, given that x is the time of speech at school

The time Beth needs to do the speech = Less than 5 minutes

The time she spent during the practice is less than or equal to 5 minutes

The duration of her speech in class = 15 seconds less than the duration at home

The inequality that shows the following situation correctly is therefore;

x ≤ 5 minutes - 15 seconds

(5 - 0.25) minutes = 4.75 minutes

Which gives;

  • x ≤ 4.75 minutes

The possible times for her speech at school are times x, less than or equal to 4.75 minutes

Which gives;

  • The possible times for her speech at school are; 4.75 minutes, 4.5 minutes, and 4.0 minutes

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