SOLUTION: As a sales person in a cell phone company, Evan is paid a daily salary plus commission. When his sales are $1000, he makes $100. When his sales are $1400, he makes $120. a. Writ

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: As a sales person in a cell phone company, Evan is paid a daily salary plus commission. When his sales are $1000, he makes $100. When his sales are $1400, he makes $120. a. Writ      Log On


   



Question 1163036: As a sales person in a cell phone company, Evan is paid a daily salary
plus commission. When his sales are $1000, he makes $100. When his
sales are $1400, he makes $120.
a. Write a linear function to model this situation.
b. What are Evan’s daily salary and commission rate?
c. How much would Evan make in a day if his sales were $2000?

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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As a sales person in a cell phone company, Evan is paid a daily salary
plus commission.
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If y is earnings for the day, then y = commission + dailysalary.



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When his sales are $1000, he makes $100.
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100=1000%2Am%2Bb
for commission rate m and daily salary b.


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When his sales are $1400, he makes $120.
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120=1400m%2Bb


System of Equations system%281000m%2Bb=100%2C1400m%2Bb=120%29

Subtract first equation from second equation.
400m=20
m=20%2F400
m=2%2F40
highlight_green%28m=1%2F20%29
Evan gets $1 in commission for every $20 in sales he produces.

Using the first equation of the system,
1000m+b=100
b=100-1000m
b=100-1000%281%2F20%29
highlight_green%28b=50%29
His daily base rate without any sales is $50.


If x is his amount of sales he produces, then his daily salary becomes highlight%28y=%281%2F20%29x%2B50%29.