Question

The chart describes the number of tickets needed to win prizes at a family fun center. a. Write conditionals with sample prizes as the hypothesis and prize level as the conclusion. b. Ines wins an MP3 speaker. Write true statements about Ines based on the conditionals you wrote in part (a). a) If Ines wins an MP3 speaker, she has accumulated a certain number of tickets. b) Ines has accumulated a certain number of tickets, so she wins an MP3 speaker. c) If Ines wins an MP3 speaker, she has not accumulated enough tickets. d) Ines has not accumulated enough tickets, so she wins an MP3 speaker.

Answer 1

Before we continue, we need to assume or define some ticket-to-prize levels to understand the hypotheses better. For simplicity, let's assign these levels:

1. At 50 tickets, Ines can win a pencil.
2. At 100 tickets, Ines can win a book.
3. At 200 tickets, Ines can win an MP3 speaker.
4. At 300 tickets, Ines can win a bike.

(a) Now we can write conditionals:

1. If Ines has 50 tickets, then she can win a pencil.
2. If Ines has 100 tickets, then she can win a book.
3. If Ines has 200 tickets, then she can win an MP3 speaker.
4. If Ines has 300 tickets or more, then she can win a bike.

(b) According to the problem, Ines wins an MP3 speaker. Let's derive true statements about Ines based on these conditionals:

1. If Ines wins an MP3 speaker, she must have accumulated at least 200 tickets.
2. Since she was able to get an MP3 speaker and not a bike, it implies she has less than 300 tickets.
3. In conclusion, she has between 200 and 299 tickets.

These statements are based solely on the conditionals and hypotheses we set forth, and could vary with different ticket-prize levels.