Question

A student got a summer job at an electronics store. the student is given two different compensation plans. plan A pays a weekly salary $250 plus commission of $25 for each phone sold. Plan B offers no salary but pays $50 commission on each cellphone sold. how many cellphones will the student have to sell to make the same amount of money on both plans? when is plan B a better plan? when is plan A the better plan?

Solve using "System of Equations"

Answer 1

They will make the same amount after 10 phones sold. Before that Plan A is the better plan. After 10, Plan B is the better plan.

You can find the point of intersection by modelling the two equations and setting them equal to each other. If x is equal to phones sold:

250 + 25x = 50x
250 = 25x
10 = x

Therefore, you make the same at 10 phones.