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Question

To begin a bacteria study, a petri dish had
1500
bacteria cells. Each hour since, the number of cells has increased by
2.3%
.
Let
t
be the number of hours since the start of the study. Let
y
be the number of bacteria cells.
Write an exponential function showing the relationship between
y
and
t
.

 

Answer 1

Noting that for each passing hour the population

goes up be a factor of 2.3% then every hour the

new population density is found by multiplying

the previous hours total by 1.023

 

your basic format on the exponential growth is:

y = y₀(1.023)^t

y = current bacteria cell population

y₀= beginning bacteria cell population

t = time in hours

 

 

y = 1500(1.023)^t