Final answer:
To predict the number of seventh-grade students who would choose summer as their favorite season, we can use proportional reasoning. Based on the data, the most reasonable prediction is that around 204 seventh-grade students in the school would choose summer as their favorite season.
Step-by-step explanation:
To predict the number of seventh-grade students in the school who would choose summer as their favorite season, we can use proportional reasoning. We know that 25% of the seventh-grade students were surveyed, and out of those surveyed, 51 chose summer as their favorite season.
Let's set up a proportion:
25% of x = 51
We can solve this proportion by cross-multiplying:
25x = 51 * 100
25x = 5100
x = 5100 / 25
x = 204
Therefore, the most reasonable prediction is that around 204 seventh-grade students in the school would choose summer as their favorite season.