The growth of a plant during a eight-month period is modelled by the exponential function f(x) = 3(1.25)* where f(x) represents the height, in centimetres, at the end of each month and x represents the time in months. Determine when the plant will reach a height of 12 cm, to the nearest tenth of a month. Show your work. 10g (4)=x109 (1.25) 12= 3(1.25) * 3 3 www Log(4) 4= (1.25) * X Log (1.25) X = 6.2

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter7: Exponents And Exponential Functions
Section: Chapter Questions
Problem 65SGR
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The growth of a plant during a eight-month period is modelled by the exponential function
f(x)= 3(1.25)*
where f(x) represents the height, in centimetres, at the end of each month and x represents the time in
months. Determine when the plant will reach a height of 12 cm, to the nearest tenth of a month. Show
your work.
10g (4)=x10g (1.25)
12 = 3(1.25) *
MARMAR
3
Log(4)
X
X
4=(1.25)
{ x=6₁2}
Log (1.25)
~/m
Transcribed Image Text:The growth of a plant during a eight-month period is modelled by the exponential function f(x)= 3(1.25)* where f(x) represents the height, in centimetres, at the end of each month and x represents the time in months. Determine when the plant will reach a height of 12 cm, to the nearest tenth of a month. Show your work. 10g (4)=x10g (1.25) 12 = 3(1.25) * MARMAR 3 Log(4) X X 4=(1.25) { x=6₁2} Log (1.25) ~/m
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