bayside insurance offers two health plans. Under planA Giselle would have to pay the first $140 of her medical bills, plus 30% of the rest. Under plan B Giselle would pay the first $250, but only 25% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $250 in bills.
Giselle would save with plan B if she had more than $-----in bills
round to the nearest whole number

Question

bayside insurance offers two health plans.  Under planA Giselle would have to pay the first $140 of her medical bills, plus 30% of the rest.  Under plan B Giselle would pay the first $250, but only 25% of the rest.  For what amount of medical bills will plan B save Giselle money? Assume she has over $250 in bills.
Giselle would save with plan B if she had more than $-----in bills
round to the nearest whole number

anonymous · Answer

PlanA(TotalBills) = (TotalBills-140) * (30%) + 140
PlanB(TotalBills) = (TotalBills-250) *(25%) + 250

Each function give the reminder to pay for Giselle.

Therefore, we want to find the value of TotalBills  for wich PlanB < PlanA : let's replace in a inequation :

PlanB < Plan A
(TotalBills-250) *(25%) + 250 < (TotalBills-140) * (30%) + 140

Solved :
(TotalBills-250)/4+250<(3 (TotalBills-140))/10+140
TotalBills>1790

PlanB is advantageous when the bill is over 1790$

anonymous · Answer

thank you william thats what I came up with I just needed to recheck my answer you made my day