Final answer:
To find out how long it will take for 2,900 students to hear the rumor, we can set up a proportion and solve for the unknown variable.
Step-by-step explanation:
To find out how long it will take for 2,900 students to hear the rumor, we can set up a proportion based on the information given:
8 students heard the rumor initially, and 84 students heard it after 1 day. Let x represent the number of days it will take for 2,900 students to hear the rumor. The proportion can be set up as:
8/84 = 2,900/x
To solve for x, we can cross-multiply and solve for x:
8x = 84 * 2,900
x = (84 * 2,900) / 8
x = 30,600
Therefore, it will take 30,600 days for 2,900 students to hear the rumor.