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Mathematics 19 Online
OpenStudy (anonymous):

Can someone help me ? Harold has been hired as a salesman. He is paid a flat rate of $375 each week and earns an additional $14.25 commission for each sale. If x represents the number of sales and y represents the total earned, which equation will help Harold determine the amount he earns in one week? y = $375h – $14.25 y = $375h + $14.25 y = $14.25h + $375 y = $14.25h – $375

OpenStudy (anonymous):

I think y = $14.25h + $375 is correct ?

OpenStudy (whpalmer4):

No, there's no \(h\) here...

OpenStudy (whpalmer4):

are those h's supposed to be x's?

OpenStudy (whpalmer4):

But as Mertsj said, a good way to test the equation is to see if it gives the right answer if there are no sales.

OpenStudy (anonymous):

@whpalmer4 yes

OpenStudy (whpalmer4):

what does your equation give if the number of sales is 0?

OpenStudy (anonymous):

I dont really know o.O

OpenStudy (whpalmer4):

what is the variable that represents the number of sales?

OpenStudy (anonymous):

x

OpenStudy (whpalmer4):

okay. if x=0, what is y?

OpenStudy (anonymous):

total number of sales

OpenStudy (whpalmer4):

no, that's not correct. reread the problem statement.

OpenStudy (anonymous):

If x represents the number of sales and y represents the total earned

OpenStudy (whpalmer4):

yes. so, if x = 0, what is the value of y?

OpenStudy (anonymous):

14.25 ?

OpenStudy (whpalmer4):

what is the equation you are using?

OpenStudy (anonymous):

I dont really know anything :c im trying to get help from someone who know thhis more than me

OpenStudy (whpalmer4):

Come on. You have to choose an equation. Pick one that you think represents how much the salesperson gets paid if they have a flat rate of $375 each week and a commission of $14.25 for each sale. Once you've made a selection, try it out! Put in 0 for the number of sales. What comes as the total earnings? Does that number make sense for the scenario described? If not, pick another one.

OpenStudy (whpalmer4):

If he doesn't make any sales, how much money does he earn for the week?

OpenStudy (anonymous):

375 ?

OpenStudy (whpalmer4):

Yes. So any equation you write or choose must give y = 375 if x = 0.

OpenStudy (whpalmer4):

How much does he make if he makes 1 sale in the week?

OpenStudy (anonymous):

14 . 25 ?

OpenStudy (whpalmer4):

what happened to the flat rate of $375 per week?

OpenStudy (whpalmer4):

he makes $375 per week, + a commission of $14.25 per sale, right?

OpenStudy (whpalmer4):

how do you write an equation that expresses that, if \(x\) is the number of sales, and \(y\) is the total earned?

OpenStudy (anonymous):

y=375x+14.25

OpenStudy (whpalmer4):

Okay, plug in x=0 in that equation. What comes out?

OpenStudy (whpalmer4):

\[375(0)+14.25 = \]

OpenStudy (anonymous):

14.25 :D

OpenStudy (whpalmer4):

Okay. That's not the right answer, is it?

OpenStudy (anonymous):

Nope .. I think :/

OpenStudy (whpalmer4):

He's supposed to make $375 if he doesn't have any sales. How could you modify your equation to make that be the case?

OpenStudy (anonymous):

y = $375h + $14.25

OpenStudy (whpalmer4):

where do you get this h from? do you see an h in the problem statement?

OpenStudy (whpalmer4):

what does h represent?

OpenStudy (anonymous):

its in my answer choice idk :c

OpenStudy (whpalmer4):

well, your answer choices don't match your problem statement. but we'll "correct" your problem statement to say "h" instead of "x". We just demonstrated that y = 375x + 14.25 didn't do the right thing if he doesn't have any sales, why do you think the same equation will work better if we change x to h? What's your reasoning here?

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