Nd a company gives each new salesperson a commission of $300 for the sale of a new car. the salesperson will receive a $100 increase for each addition car the person sells that week, so the person gets $400 for the next sale that week. which equation can find the number of cars a salesperson must sell to earn $4,200 in a week? recall that a1/d(n-1) is equivalent to an

General Idea:

In an arithmetic sequence, to find the term, we need to use the below formula:

Here gives the term

gives the first term of sequence

d is the common difference and n is the number of terms in the sequence.

Applying the concept:

In our problem it is given that "A company gives each new salesperson a commission of $300 for the sale of a new car",

so

"The salesperson will receive a $100 increase for each addition car the person sells that week"

so

"find the number of cars a salesperson must sell to earn $4,200 in a week", this means that we need to find the value of n, when

Setting up the equation based on the arithmetic sequence formula, we get:

Conclusion:

New Salesperson has to sell 40 cars to earn $4200 in a week.

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step-by-step explanation: