Question

On monday five students make up a rumor. on each of the next two days, every student that knows the rumor tells five other students. write a power to represent the number of students that know the rumor at the end of day on wednesday. the find the number of students

Answer 1

Answer: 5¹ + 5² + 5³, 130 students

Explanation:

Monday: 1 1 1 1 1 = 5 ⇒ 5¹

+ Tuesday: 1(5) 1(5) 1(5) 1(5) 1(5) = + 25 ⇒ 5²

+ Wednesday:5(5) 5(5) 5(5) 5(5) 5(5) = +125 ⇒ 5³

130

Extra Credit: How many students will know the rumor on Thursday? 5¹ + 5² + 5³ + 5⁴