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Mathematics 9 Online
OpenStudy (anonymous):

help will give medal

OpenStudy (anonymous):

Javier has a job installing windows. He earns a rate of $75 per day plus $8 per window installed. He also receives a stipend of $25 for snacks. Javier knows his weekly earnings can be shown with the following expression: 75d + 8w + 25 Part A: Identify a coefficient, a variable, and a constant in this expression. (3 points) Part B: If Javier works for 5 days and installs 48 windows, how much does he earn? Show your work to receive full credit. (4 points) Part C: If Javier gets an increase in his stipend and receives $40 for snacks, would the coefficient, variable, or constant in the equation change? Why? (3 points) (10 points)

OpenStudy (anonymous):

a) (8/75) (w/d) (25)

OpenStudy (anonymous):

Part A: A Coefficient is a number accompanying a variable so we can say 75 or 8. For a variable we have d and w. The only constant here is his snacking money which is 25! Part B: You need to show work here, remember! \[(75*5) + (8*48) + 25 = 784\] Part C: We already identified what his snack money is! Ask questions if you don't understand something here!

OpenStudy (anonymous):

that look right (75*5) +(8*48)+25=784 375 + 384 + 25 = 784

OpenStudy (anonymous):

Yep! Looks perfect.

OpenStudy (anonymous):

and I dnt understand part c very well

OpenStudy (anonymous):

Let's start by breaking down the equation: 75d + 8w + 25 What do we call the "d" and the "w"?

OpenStudy (anonymous):

variables

OpenStudy (anonymous):

Bingo! Now what about the 75 in front of the d, and the 8 in front of the w?

OpenStudy (anonymous):

coefficients

OpenStudy (anonymous):

Right again, so now the +25 at the end is what?

OpenStudy (anonymous):

a constant

OpenStudy (anonymous):

So if we look back at the word problem we can see the constant of 25 is his snacks! So, if we increase his snacking stipend we thus increase the constant.

OpenStudy (anonymous):

oh so the constant would then be 40 instead of 25

OpenStudy (anonymous):

Exactly! You got it.

OpenStudy (anonymous):

omg thank you so much I understand now yay

OpenStudy (anonymous):

I am so glad! Always happy to help.

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