Dennis has less than 70 min. to spend on some homework questions. He spent 10 min. on the first two questions. The rest of the questions will take 5/2 min. each.
Which statement describes the solution to this inequality?
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Dennis can complete fewer than than 4 questions
Dennis can complete fewer than 32 questions
Dennis can complete fewer than 24 questions
Dennis can complete fewer than 60 questions
Dennis can complete fewer than 24 questions
The correct statement describing the solution to this inequality is:
Dennis can complete fewer than 24 questions.
To solve this problem, we need to calculate the maximum number of questions Dennis can complete within the given time limit.
First, we know that Dennis spent 10 minutes on the first two questions. Therefore, we subtract this time from the total time available: 70 minutes - 10 minutes = 60 minutes.
Next, we need to determine how long it takes for Dennis to answer each question. According to the information given, it takes him 5/2 minutes (or 2.5 minutes) to answer each question.
To find the maximum number of questions he can complete, we divide the total available time (60 minutes) by the time it takes to answer each question (2.5 minutes):
60 minutes / 2.5 minutes = 24 questions
So, the correct answer is "Dennis can complete fewer than 24 questions."