Practice Create A Formula

Jan 15, 2020
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Devon owns a house cleaning company and has to give price quotes to potential customers. He figures out his price by assuming a $25 base charge and then adding $8 for each bathroom and $4 for each other room. If he uses P to represent the price, B for bathroom, and R for other rooms, create a formula describing the situation.

Break this problem down one sentence at a time leading to the formula requested. Do not solve the problem.
 

MarkFL

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Jan 25, 2018
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Okay, we are told to let \(P\) represent the price. We need to identify any variables:

"B for bathroom, and R for other rooms"

These are the things that can vary from job to job, and so \(P\) will be a function of \(B\) and \(R\).

"$8 for each bathroom and $4 for each other room"

This tells us \(8B\) and \(4R\) will constitute the variable portion of the price, and the fixed part is the given base charge. Putting this all together, what do you get?
 
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Jan 15, 2020
659
7
18
54
Bronx, NY
Okay, we are told to let \(P\) represent the price. We need to identify any variables:

"B for bathroom, and R for other rooms"

These are the things that can vary from job to job, and so \(P\) will be a function of \(B\) and \(R\).

"$8 for each bathroom and $4 for each other room"

This tells us \(8B\) and \(4R\) will constitute the variable portion of the price, and the fixed part is the given base charge. Putting this all together, what do you get?
P = (8B + 4R) + 25
 
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MarkFL

La Villa Strangiato
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Administrator
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Math Helper
Jan 25, 2018
3,983
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St. Augustine
Yes, I agree. :) Good work! :)