Writing Linear and Exponential Functions

Question

When a new charter school opened in 2000, there were 970 students enrolled. Using function notation, write a formula representing the number, N, of students attending this charter school t years after 2000, assuming that the student population:

a) Decreases 9.1% per year

b) Increases 17% per year

c) Remains constant (does not change)

d) Decreases 28 students per year

e) Increases 72 students per year

g) Increases 8.3% per year

Answer 1

a) Decreases 9.1% per year

b) Increases 17% per year

c) Remains constant (does not change)

d) Decreases 28 students per year

e) Increases 72 students per year

g) Increases 8.3% per year

remember exponential growth has base>1, exponential decay has base<1

N=970*(1.091)^t t is # years

N=970*(.83)^t t is # years

N=970

N=970-28t t is # years LINEAR DECREASE

N=970+72t t is # years LINEAR INCREASE

N=970*(1.083)^t t is # years