Formulas used to find constants

Section B.2 Formulas used to find constants

rate of change = \frac{change dep}{change indep} = \frac{1st dep - 2nd dep}{1st indep - 2nd indep}

intercept = dep - slope * indep

If a quantity changes by a percentage corresponding to growth rate $r,$ then the growth factor is

$g = 1 + r$
If the growth factor is $g,$ then the growth rate is

$r = g - 1$

If a quantity is growing (or decaying) exponentially, then the growth (or decay) factor is

g = \sqrt[t]{\frac{a}{s}}

where

s

is the starting amount and

a

is the amount after

t

time periods.