Marcella wants a job as a sales representative. She receives two job offers that sell office machines to businesses.

Office Essentials offers Marcella a set monthly salary of $2,500 plus a commission (additional $) of $120 for every office machine she sells
Everything Office offers her a set monthly salary of $2000 plus a commission (additional $) of $150 for every office machine she sells

If T is the total amount (combined salary and commission) of money Marcella makes each month M is the total number of office machines she sells

1. Write an equation to represent the Total money she would make in one month at Office Essentials
2. Write an equation to represent the Total money she would make in one month at Everything Office

Question

01-12-2020
Mathematics

contestada

Marcella wants a job as a sales representative. She receives two job offers that sell office machines to businesses.

Office Essentials offers Marcella a set monthly salary of $2,500 plus a commission (additional $) of $120 for every office machine she sells
Everything Office offers her a set monthly salary of $2000 plus a commission (additional $) of $150 for every office machine she sells

If T is the total amount (combined salary and commission) of money Marcella makes each month M is the total number of office machines she sells

1. Write an equation to represent the Total money she would make in one month at Office Essentials
2. Write an equation to represent the Total money she would make in one month at Everything Office

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Answer:

$4,000

Step-by-step explanation:

Part A

Marcella wants a job as a sales representative. She receives two job offers from companies that sell office machines to businesses.

Office Essentials offers Marcella a salary of $2,500 per month, plus a commission of $125 for every office machine she sells.

Everything Office offers Marcella a salary of $2,000 per month, plus a commission of $150 for every office machine she sells.

Let M represent the total monthly earnings, in dollars, and let n represent the number of office machines sold in a month. For each company, write an equation that represents the relationship between M and n.

Enter your equations in the space provided.

Part B

Marcella wants to earn a total of at least $4,000 per month. For each company, find the least number of office machines she would need to sell each month in order to meet this goal. Show your work.

Enter your answers and your work in the space provided.

Part C

Compare Marcella’s possible earnings at Office Essentials to her possible earnings at Everything Office. How many machines would Marcella have to sell for the earnings at both companies to be the same? Find the interval of machines sold for which the total earnings at Everything Office are greater than the total earnings at Office Essentials. Show your work.