HP 39gs Master Guide

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A population of bacteria is known to follow a growth pattern governed by the equation
NN
kt
;t ≥ 0
. It is observed that at t = 3 hours, there are 100 colonies of bacteria and that at
=
0
t = 10 hours there are 10,000 colonies.
(i) Find the values of
N
0
and of k.
(ii) Predict the number of bacteria colonies after 15 hours.
(iii) How long does it take for the number of colonies to double?
(i) Find
N and k using the calculator.
0
Step 1. Start up the Statistics aplet, set it to
and enter the data
given. Change to the
SYMB SETUP view and specify an
Exponential line of best fit for the data.
Step 2. Press
VIEWS and choose Auto Scale. If the line shown does
not appear then press
and then . Wait while the
line draws.
Step 3. Change to the
SYMB view, move the highlight to the equation
of the regression line and press
. Rounded to 4 dec.
places, this gives an equation of:
⋅ t
13 8950e
0 6579
N =⋅
305

HP 39gs Specifications

General

Type	Scientific
Form factor	Pocket
Product color	Gray
Internal memory	0.256 MB

Weight and Dimensions

Weight	249 g
Dimensions (WxDxH)	187 x 94 x 31 mm