Fern is choosing between two salary plans. The first salary plan is $100 with 15% commission for every sale he makes. The second salary plan is $150 with 10% commission on every sale he makes. How many weeks does Fernandes have to work to make Plan B at least better.

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