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Vikki [24]
3 years ago
5

I will rate brainly if you answer this The number of weekly social media posts varies directly with the square root of the poste

r’s age and inversely with the cube root of the poster’s income. If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?
Mathematics
2 answers:
juin [17]3 years ago
6 0
K=320.

If a=age, m=income, and n=number of weekly posts:
The relationship can be modeled by
n=k * sqrt(a) / cbrt(m). sqrt(a) is in the numerator because it is directly proportional to n and cbrt(m) is in the denominator because it is inversely proportional to n.
Plugging in the given values, n=64, a=16, m=8000, 64=k* sqrt(16) / cbrt(8000). sqrt(16)=4, and cbrt(8000)=20, so 64=4k/20=k/5. So k=64*5= 320.
ryzh [129]3 years ago
5 0

Answer:

\large \boxed{\sf \bf \ \ k=320 \ \ }

Step-by-step explanation:

Hello,

The number of weekly social media posts varies directly with the square root of the poster’s age and inversely with the cube root of the poster’s income.

If a 16-year-old person who earns $8,000 makes 64 posts in a week, what is the value of k?

64=\dfrac{\sqrt{16}}{\sqrt[3]{8000}}\cdot k=\dfrac{4}{20}\cdot k=\dfrac{1}{5}\cdot k=0.2\cdot k\\\\k=64*5=320

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

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