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Licemer1 [7]
3 years ago
11

Tonya’s dog-walking service charges a flat rate of $20 per month, plus $3 per mile that each dog is walked. Beth does not charge

a monthly fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.
Mathematics
1 answer:
vladimir1956 [14]3 years ago
4 0

Answer:

Ten miles

Step-by-step explanation:

Use this inequality

20 + 3m = 5m

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sattari [20]
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\bf \begin{array}{llll}
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P=2(x+y)\\\\
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----------\\

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\end{array}\qquad 
\begin{array}{llll}
\textit{perimeter of the dog pen}\\\\
P=2x+y\\\\
P=2x+\cfrac{2744}{x}\\
----------\\
\textit{cost of it}\\\\
C=5\left( 2x+\cfrac{2744}{x} \right)\\\\
C=10x+\cfrac{27440}{x}
\end{array}

notice... the dog's pen perimeter, does not include the side that's bordering the garden's, since that side will use the heavy duty fence, instead of the light one

so, the sum of both of those costs, will be the C(x)

\bf C(x)=\left( 30x+\cfrac{82320}{x} \right)+\left( 10x+\cfrac{27440}{x} \right)
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C(x)=40x+\cfrac{109760}{x}

so, just take the derivative of it, and set it to 0 to find the extremas, and do a first-derivative test for any minimum

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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34kurt
I do not have an answer for that, but you should try looking for that on google or yahoo answers.
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