A sales agent is offered two salary options. Option 1 is a starting salary of $70,000 plus 13% of sales made per year. Option 2 is an initial salary of $65,000 and 26% of sales made per year. Let x represent dollars in sales made per year and y be the salary. (a) Write an equation for the annual salary for Option 1. (b) Write an equation for the annual salary for Option 2 (c) Solve the system of equations by substitution and interpret the solution. Fill in the blanks (Round your answer to two decimal places) When sales are $ Number both of the slaries would be $ Number (d) Suppose the sales agent selected Option 1. If the agent made $85,000 in sales during the third year of working at this company, was this option the best deal at that time? Choose the appropriate answer. O Yes, because for $85,000 in sales Option 1 would yield a salary of $87,100 and Option 2 would yield a salary of $81,050. O No, because for $85,000 in sales Option 1 would yield a salary of $87,100 and Option 2 would yield a salary of $81,050. Yes, because for $85,000 in sales Option 1 would yield a salary of $81,050 and Option 2 would yield a salary of $87,100. O No, because for $85,000 in sales Option 1 would yield a salary of $81,050 and Option 2 would yield a salary of $87,100.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A sales agent is offered two salary options. Option 1 is a starting salary of $70,000 plus 13% of sales made per year. Option 2 is an initial salary of $65,000
and 26% of sales made per year. Let x represent dollars in sales made per year and y be the salary.
(a) Write an equation for the annual salary for Option 1.
(b) Write an equation for the annual salary for Option 2
(c) Solve the system of equations by substitution and interpret the solution. Fill in the blanks (Round your answer to two decimal places)
When sales are $ Number
both of the staries would be $ Number
(d) Suppose the sales agent selected Option 1. If the agent made $85,000 in sales during the third year of working at this company, was this option the best
deal at that time? Choose the appropriate answer.
O Yes, because for $85,000 in sales Option 1 would yield a salary of $87,100 and Option 2 would yield a salary of $81,050.
O No, because for $85,000 in sales Option 1 would yield a salary of $87,100 and Option 2 would yield a salary of $81,050.
O Yes, because for $85,000 in sales Option 1 would yield a salary of $81,050 and Option 2 would yield a salary of $87,100.
No, because for $85,000 in sales Option 1 would yield a salary of $81,050 and Option 2 would yield a salary of $87,100.
Transcribed Image Text:A sales agent is offered two salary options. Option 1 is a starting salary of $70,000 plus 13% of sales made per year. Option 2 is an initial salary of $65,000 and 26% of sales made per year. Let x represent dollars in sales made per year and y be the salary. (a) Write an equation for the annual salary for Option 1. (b) Write an equation for the annual salary for Option 2 (c) Solve the system of equations by substitution and interpret the solution. Fill in the blanks (Round your answer to two decimal places) When sales are $ Number both of the staries would be $ Number (d) Suppose the sales agent selected Option 1. If the agent made $85,000 in sales during the third year of working at this company, was this option the best deal at that time? Choose the appropriate answer. O Yes, because for $85,000 in sales Option 1 would yield a salary of $87,100 and Option 2 would yield a salary of $81,050. O No, because for $85,000 in sales Option 1 would yield a salary of $87,100 and Option 2 would yield a salary of $81,050. O Yes, because for $85,000 in sales Option 1 would yield a salary of $81,050 and Option 2 would yield a salary of $87,100. No, because for $85,000 in sales Option 1 would yield a salary of $81,050 and Option 2 would yield a salary of $87,100.
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