SOLUTION: Suppose that a library contains 10,000 books now, and adds 150 books every month. (a) Write an explicit formula for a linear model that describes this growth. P^t =

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Suppose that a library contains 10,000 books now, and adds 150 books every month. (a) Write an explicit formula for a linear model that describes this growth. P^t =       Log On


   



Question 1182698: Suppose that a library contains 10,000 books now, and adds 150 books every month.
(a) Write an explicit formula for a linear model that describes this growth.
P^t
=

(b) If this trend continues, how many books will the library contain in a year?
_____books
(c) How long will it be before the library contains 18,000 books? Round your answer to the nearest month.
_____months

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

(a) Write an explicit formula for a linear model that describes this growth.
P%28t%29=+150t%2B10000
(b) If this trend continues, how many books will the library contain in a year?
t=1year=12months
P%28t%29=+150%2A12%2B10000
P%28t%29=+11800
__11800___books will the library contain in a year

(c) How long will it be before the library contains 18,000 books? Round your answer to the nearest month.
given P%28t%29=18000
18000=+150t%2B10000
18000-10000=+150t
8000=+150t
t=8000%2F150
t=160%2F3
t=53+
__53___months