Math Growth and decay Linear and proportional growth

Linear and proportional growth

Linear growth

In the case of linear growth, the value $N(t)$ for the same period of time ($c$) is always added with the same addend ($d$)

The general equation of linear growth is:

$N(t)=m\cdot t + N_{0}$

$t...$ Period of time
$m ...$ Growth factor
$N(t) ...$ Value in dependence on $t$
$N_{0} ...$ Initial amount/start value

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Remember

Linear growth is described by linear functions.

Proportional growth

Proportional growth is like linear growth, but with an initial amount of 0.

The general equation would be:

$N(t)=m\cdot t$

$N_{0}$ falls away because the starting value is 0.