Question

A banker’s compensation consists of a weekly salary as well as a commission for each account opened. The banker earns commission at a rate of $10/account. In one particular week, the banker opened 15 accounts and brought home a total pay of $830. Which of the following equations describes the pay for the banker in terms of accounts opened? A. y = 10x + 15 B. y = 10x + 68 C. y = 15x + 680 D. y= 15x + 830

Answer 1

B. y = 10x + 680 

Breakdown: 

he bring a total of $830 home 
he opens 15 accounts at $10/account 
he has an unknown amount of salary. 

Hence to determine the salary, Subtract the commission of the opened accounts from the total he brings home i.e. 

830 = Salary + Commission (rearranging gives) 

Salary = 830 - Commission (but Commission = 15*10 = 150) 

Salary = 830 - 150 = 680 

Therefore his pay structure is of the form 

Y = 680 + 10x, where x is the number of accounts opened 

Hope that helps

Answer 2

y = 15x + 680 describes the pay for the banker in terms of accounts opened.

 

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true.

 

The correct answer between all the choices given is the third choice or letter C. I am hoping that this answer has satisfied your query and it will be able to help you in your endeavor, and if you would like, feel free to ask another question.