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use a system of equations to solve the problem. for its sales staff, a company offers two salary options. salary option one (i1) is $386 per week plus a commission of 3 1 2 % of sales. salary option two (i2) is $200 per week plus 4 1 4 % of sales. find equations that express incomes i1 and i2 as functions of sales x.

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Thus, weekly sales of $ 3720 generate equivalent sales. Thus the equation is 200 + 0.085x = 386 + 0.035x, which expresses incomes i1 and i2 as functions of sales x.

what is system of equations ?

equations simultaneously, or a system of equations Multiple equations in algebra must be solved concurrently (i.e., the solution must satisfy all the equations in the system). There must be an equal number of equations and unknowns for a system to have a singular solution.

given

weekly sales = $x

Salary option one (I1) is $386 per week plus a commission equal to 31/2 percent of sales, and salary option two (i2) is $200 per week plus = 41/4 percent of sales..

here

(I1) = 386 + 7/2 *x/100

= 386 +0.035x  ( for a week )

(I2) = 200 + 17/2 *x/100

= 200 + 0.085x ( for a week )

if both option produces the equal sales

= 200 + 0.085x = 386 +0.035x

= (0.085 - 0.035)x = 386 - 200

= 0.05x = 186

= x = $ 3720

Thus, weekly sales of $ 3720 generate equivalent sales. Thus the equation is 200 + 0.085x = 386 + 0.035x, which expresses incomes i1 and i2 as functions of sales x.

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