Question

A college with a graduating class of 3,600 students in the year 2012, predicts that it will have a graduating class of 4,862 in 2016.

1. Write an exponential function to model the # of students y in the graduating class t years after 2012.
2. What is the growth factor of this college?

Answer 1

what have you tried so far

Answer 2

@rational I have tried nothing, because I don't know how to use exponential function in a world application problem

Answer 3

I'm pretty sure there mus tbe something about this in your notes/textbook and if you see lesson pages you might actually find the answer

Answer 4

is 1. 4862= 3600(something)^x ; y = 3600(1.35)^x ----> @rational

Answer 5

@rational what's #2?

Answer 6

Is it growing 1.35 students a year

Answer 7

\[\large y = AB^{t}\]

Answer 8

starting population = 3600
so A = 3600

\[\large y = 3600B^{t}\]

Answer 9

I need #2

Answer 10

your part a is wrong

Answer 11

you need part a to figure out part b

Answer 12

what is wrong with part a? I got to get ready for school, so could you please give me the answer

Answer 13

the prediction for population in `four` years is `4862`

so you need to plugin t = 4 and y = 4862 in above equation and solve B :

\[4862 = 3600B^4\]

solve \(B\)

Answer 14

1.35x^4 right

Answer 15

you will get B = 1.078

Answer 16

then take the fourth root to both sides and you get 1.08

Answer 17

Yes thats it!

Answer 18

would it be y = 3600 (1.08)^x

Answer 19

I need b's answer like now

Answer 20

so the answer for part 1 would be

\[\large y = 3600 (1.078)^t\]

Answer 21

for second part, the growith factor is simply B : 1.078

Answer 22

1.078 what?

Answer 23

yes thats the factor,
growth factor is a number

Answer 24

okay thank you helped me so much! :D You're amazing

Answer 25

the population grows by 7.8% each year

Answer 26

yw