Students are entering an auditorium at a constant rate. When the Auditorium opens there are already 23 students sitting in it after it has been feeling for 10 minutes There are now 473 students in the auditorium.

Find average rate of change for the first 10 minutes

how many students will be in the auditorium after 15 minutes of filling

Question

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Mathematics

28 November, 12:44

Students are entering an auditorium at a constant rate. When the Auditorium opens there are already 23 students sitting in it after it has been feeling for 10 minutes There are now 473 students in the auditorium.

Find average rate of change for the first 10 minutes

how many students will be in the auditorium after 15 minutes of filling

+3

Answers (2)

Know the Answer?

Hugh Palmer · Answer 1

45 students enter the auditorium every min (not counting students already inside). In 15 mins 675 students will have entered the auditorium plus the 25 that were inside already will be 700 total in 15 mins

Mila Kelly · Answer 2

Let the rate be r, in units of students per minute. After 0 minutes, we have 23 students, After t minutes, we have

s = rt + 23

When t=10 we have s=473

473 = 10r + 23

450 = 10r

r = 45 students per minute

Answer [first part]: 45 students per minute

When t=15, we get

s = 45 (15) + 23 = 698

Answer [second part]: 698