Question

When hired at a new job selling electronics, you are given two pay options: • Option A: Base salary of $10,000 a year with a commission of 9% of your sales • Option B: Base salary of $20,000 a year with a commission of 4% of your sales How much electronics would you need to sell for option A to produce a larger income? Enter your answer as an inequality using the variable x to represent electronics sales in dollars. Do not enter any commas in your answer.

Answer 1

Using linear functions, it is found that the number of electronics that you need to sell for a larger income in option A is x > 200,000.

What is a linear function?

A linear function is modeled by:

y = mx + b

In which:

• m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

• b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

Considering the base salaries as the intercept and the commissions as the slope, the functions are given by:

• A(x) = 10000 + 0.09x.

• B(x) = 20000 + 0.04x.

To produce a larger income in option A, it is needed that:

A(x) > B(x).

Hence:

10000 + 0.09x > 20000 + 0.04x

0.05x > 10000

x > 10000/0.05

x > 200,000

More can be learned about linear functions at brainly.com/question/24808124

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