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

Step-by-step 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