Question

The longest amount of time employees can work under Option A or Option B is 20 weeks. After employees work 20 weeks, they can either quit or keep making the same amount they made during Week 20. If an employee plans on quitting after 20 weeks, which payment option gives the greatest total income? Explain

Answer 1

to do these word problems, just write equations that reflect the conditions. Once you have the equations, the rest is easy, right? Anyone can solve an equation; the hard part is sorting them out from the words.

So, for #1, we have

A: y = 200 + 50(x-1) = 150+50x

B: y = 200 * 1.10^(x-1)

Now you can easily make a table. See what you can do with the rest of the wowness

Answer 2

Option A gives the greatest total income because every week a person keeps working they receive $50 more than the previous week they had worked compared to the $20 more they'd receive with Option B. Option A is also the better option because compared to Option B, the employees would be earning $300 by Week 3 (with Option A) compared to the $260 they'd be earning on the exact same week (with Option B)

Explanation:

Employees earn more money working with Option A than with Option B. So, when it comes to quitting on Week 20 they'd have more money with Option A than with Option B.