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Using a Linear Function to Calculate Salary Plus Commission

Avg difficulty 2.5

Working as an insurance salesperson, Ilya earns a base salary plus a commission on each new policy. Therefore, Ilya’s weekly income, I,I , depends on the number of new policies, n,n , he sells during the week. Last week he sold 3 new policies, and earned $760 for the week. The week before, he sold 5 new policies and earned $920. Find an equation for I(n),I \left(n\right) , and interpret the meaning of the components of the equation.

OpenStax Precalculus 2e, 2.1 Linear Functions, exercise 16

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Adapted from College Algebra © 2021 Rice University. Licensed under CC BY 4.0. Sources: College Algebra 2e, Algebra and Trigonometry 2e, Precalculus 2e, College Algebra with Corequisite Support 2e. Imported at revision 4922e46.