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Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his first free movie ticket?

1 Answer

3 votes

Answer:

3.5x + 15 ≥ 55

Explanation:

I think the question below contains the missing information.

Josh has a rewards card for a movie theater. - He receives 15 points for becoming a rewards card holder. - He earns 3.5 points for each visit to the movie theatre. - He needs at least 55 points to earn a free movie ticket. Which inequality can Josh use to determine x, the minimum number of visits he needs to earn his firs free movie ticket?

My answer:

  • Becoming a member = 15 points
  • Visiting the moving theater = 3.5 points
  • Total points needed for a free movie ticket = 55

Let x is the number of times he visits = 3.5x

Total points = Points received on becoming a member + Points received on x visits

So,

Total Points = 15 + 3.5x

We know the total points must be at least 55 for a free movie ticket. This can be expressed as:

3.5x + 15 ≥ 55

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