The number of office referrals from the first cycle was 125 but has decreased by 20% each cycle after that. Which function can be used to model the number of office referrals that occurred after x cycles?

Solution

T h e n u mb er o f o ff i ce re f err a l s f ro m t h e f i rs t cyc l e w a s 125 b u t ha s d ecre a se d b y 20% e a c h cyc l e a f t er t ha t . Whi c h f u n c t i o n c an b e u se d t o m o d e l t h e n u mb er o f o ff i ce re f err a l s t ha t occ u rre d a f t er x cyc l es ?

Amount before reduction : 156.25

Solution steps

Translate the problem into an equation:

125 = x - 0.2 x

125 = x - 0.2 x : x = \frac{625}{4}

\frac{625}{4} = 156.25

Amount before reduction : 156.25