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WINSTONCH [101]
3 years ago
14

Brittany is planning a party with her parents.After collecting the following information from two possible locations,Brittany is

meeting with her parents to help decide which location they should choose.
Over-the Top party palace charges $100 for use of their location,plus $15 per person.

Make Em Envious Emporium charges $300 for use of their location,plus $10 per person.


How will they determine which location they should choose?justify your answer.
Mathematics
2 answers:
abruzzese [7]3 years ago
7 0
They will determine where they should go by finding out how many people are going. 
Ksju [112]3 years ago
6 0
To determine what location they should choose they should find the total cost of what it would be for everyone all together

For Over-the Top party palace they can use the equation 15p+100=c, where c is the total cost and p is the number of people. 

For Make Em Envious Emporium they can use the equation 10p+300=c, where c is the total cost and p is the number of people. 

Using these equations they can find out which location is cheaper for the amount of people going.
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Answer:

\large\boxed{x=\dfrac{-3+\sqrt{40+10\sqrt{10}}}{2}}

Step-by-step explanation:

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x^2+3x=10^{1\frac{1}{2}}\\\\x^2+3x=10^{1+\frac{1}{2}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\x^2+3x=10\cdot10^\frac{1}{2}\qquad\text{use}\ \sqrt[n]{a}=a^\frac{1}{n}\\\\x^2+3x=10\sqrt{10}\qquad\text{subtract}\ 10\sqrt{10}\ \text{from both sides}\\\\x^2+3x-10\sqrt{10}=0\\\\\text{Use the quadratic formula}\\\\ax^2+bx+c=0\\\\x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\a=1,\ b=3,\ c=-10\sqrt{10}\\\\b^2-4ac=3^2-4(1)(-10\sqrt{10})=9+40\sqrt{10}\\\\x=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2(1)}=\dfrac{-3\pm\sqrt{40+10\sqrt{10}}}{2}\\\\x=\dfrac{-3-\sqrt{10+10\sqrt{10}}}{2}\notin D

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3 years ago
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or
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Step-by-step explanation:

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Have an amazing day!

<u><em>PLEASE RATE!</em></u>

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