Answer:
He has to work 1,000 weeks to make Plan B at least better
Step-by-step explanation:
Step 1: Express the first salary pay
The expression for the first salary is as follows
A=F+(R×T)
where;
A=total first salary
F=fixed income
R=commission rate
T=total sales
In our case;
F=$100
R=15%=15/100=0.15
T=t
replacing;
A=100+(15% of t)
A=100+(0.15×t)
A=100+0.15 t
The equation for the first salary; 0.15 t+100
The expression for the second salary is as follows
In our case;
F=$150
R=10%=10/100=0.1
T=t
replacing;
A=150+(10% of t)
A=150+(0.1×t)
A=150+0.1 t
The equation for the second salary; 0.1 t+150
Equating equation 1 to equation 2 and solving;
0.15 t+100=0.1 t+150
(0.15 t-0.1 t)=150-100
0.05 t=50
t=50/0.05
t=1,000
He has to work 1,000 weeks to make Plan B at least better
