Question

according to the graph, which is a reasonable conjecture? the number of girls participating in high school lacrosse will exceed the number of boys participating in high school lacrosse in year 9. more girls will participate in high school lacrosse in year 8 than those who participated in year 7. more girls will participate in lacrosse in the united states during year 8 than in sweden. there were more girls participating in high school lacrosse in year 5 than in year 1.

Explanation:

To solve this, we analyze each option based on the graph (U.S. High School Girls' Lacrosse participation over years, in thousands):

1. Yellow Option: Talks about boys’ participation, but the graph is only about girls. Eliminate.
2. Purple Option: Compares Year 8 and Year 7 for girls. The graph’s trend (if it shows an increase/decrease) or exact values (though not fully visible, the context is U.S. girls’ lacrosse over years) – this is about U.S. girls, so plausible if the graph shows Year 8 > Year 7.
3. Orange Option: Compares U.S. and Sweden, but the graph is only about U.S. girls. Eliminate (no Sweden data).
4. Teal Option: Compares Year 5 and Year 1, but the graph’s x - axis (years) and trend – if the graph shows a trend (e.g., increasing), Year 5 vs Year 1 might not align, and the focus is U.S. girls, but the purple option is about U.S. girls’ Year 8 vs Year 7, which is within the graph’s scope.

The graph is about U.S. high school girls’ lacrosse participation. The purple option (“More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7”) is reasonable as it compares two years of U.S. girls’ participation (within the graph’s scope), unlike others (boys, Sweden, or unclear year comparisons).

Answer:

The reasonable conjecture is the purple - colored statement: "More girls will participate in high school lacrosse in Year 8 than those who participated in Year 7."