Your company needs to temporarily hire a programmer to work on a project. Two proposed payment schemes for this work are as follows:
• (1) A flat fee of $1,000, plus $20 per hour or (2) $25 per hour.
o For each of the two plans, show an expression that can be used to compute the amount of pay for that plan. The variable should be the number of hours worked.
o Set up and solve an inequality that would enable your company to determine possible job lengths (in hours) for which the person is paid less according to plan 1 than for plan 2.

Question

Your company needs to temporarily hire a programmer to work on a project. Two proposed payment schemes for this work are as follows:
•	(1) A flat fee of $1,000, plus $20 per hour or (2) $25 per hour. 
o	For each of the two plans, show an expression that can be used to compute the amount of pay for that plan. The variable should be the number of hours worked.
o	Set up and solve an inequality that would enable your company to determine possible job lengths (in hours) for which the person is paid less according to plan 1 than for plan 2.

hero · Answer

y = 1000 + 20x
y = 25x

That's the first part.

hero · Answer

25x < y < 1000 + 20x

That might be a formula for plan two

anonymous · Answer

ok thank you!

hero · Answer

Actually, I think you have to solve each for x and then write the inequality.

anonymous · Answer

i think you are correct

hero · Answer

But we can actually do it ourselves and find the exact number of hours it would take. Let's first write each in terms of x...

anonymous · Answer

i came up with plan one will give him 1800 but im still working on plan 2

anonymous · Answer

ok and i see he only gets 1000 from plan 2

hero · Answer

x = (y - 1000)/20
x = y/25

y/25 < x < (y - 1000)/20


x = x
25(y - 1000) = 20(y)

25y - 25000 = 20y
5y = 25000
y = 25000/5
y = 5000

anonymous · Answer

ahh but without that 1k bonus plan 1 will get him less money in th elong run

anonymous · Answer

oh! lol i didnt calculate by the year lol i only did it for the first paycheck

hero · Answer

x = 4000/20
x = 200

hero · Answer

So 200 hours is the point at which everything switches as far as the plans go. If you go over 200 hours, then the plans will likely switch.

anonymous · Answer

ahh i see! thanks hero! it makes sense now

hero · Answer

Since he's only temporary, he might pick the first plan. He might not get to 200 hours.

hero · Answer

It will take him 25 days to get to 200 hours.

hero · Answer

So, if he plans to work there for over a month, he should pick plan 2. For less than a month, stick with the first plan.

hero · Answer

There's your complete solution.

hero · Answer

You should keep these steps in mind. You may have to make the same decisions one day.

anonymous · Answer

thanks!!!

anonymous · Answer

lmao i know right XD no bonuses for me lol

hero · Answer

keep your hopes up

hero · Answer

Romie, are you still around?

hero · Answer

http://vyew.com/room#/157292/Open_Study

hero · Answer

Definitely good questions