A culture started with 1,000 bacteria. After 3
hours, it grew to 1,100 bacteria. Predict how
many bacteria will be present after 17 hours.
Round your answer to the nearest whole
number.

Solution:

The exponential growth function is given as:

--------- eqn 1

Where,

y is future value

a is initial value

r is growth rate in decimal

t is time period

A culture started with 1,000 bacteria. After 3  hours, it grew to 1,100 bacteria

Therefore,

Substitute a = 1000, y = 11000 and t = 3 in eqn 1

Predict how  many bacteria will be present after 17 hours.

Substitute a = 1000 and t = 17 and  1 + r = 1.0323 in eqn 1

Thus 1717 bacteria will be present after 17 hours

x/3-10=8

x/3=18

x=48