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Question 376386: Can someone please help me with this problen because I am totaly confused and please show all work?
Consider that the age, x, of a unicorn in human equivalent years can be given by the formula (x) = - 0.0021718x^4 + 0.027326x^3 – 0.3367x^2 + 12.46x + 2.914. When a unicorn is 2.5 years old, what is its age in human equivalent years? What about when it is 12 years old? Is it similar to a dog’s approximation of multiplying by 7 to get the age in human equivalent years? Why or why not?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Consider that the age, x, of a unicorn in human equivalent years can be given
by the formula (x) = - 0.0021718x^4 + 0.027326x^3 – 0.3367x^2 + 12.46x + 2.914.
When a unicorn is 2.5 years old, what is its age in human equivalent years?
What about when it is 12 years old?
:
Just substitute 2.5 yrs for x in the given formula and do the tedious math:
f(x) = - 0.0021718(2.5^4) + 0.027326(2.5^3) – 0.3367(2.5^2) + 12.46(2.5) + 2.914
f(x) = - 0.0021718(39.0625) + 0.027326(15.625) – 0.3367(6.25) + 12.46(2.5) + 2.914
f(x) = - .085 + .427 – 2.104 + 31.15 + 2.914
f(x) = 32.3 yrs
:
You can check the math, a lot chances to make a mistake here.
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" What about when it is 12 years old?"
Substitute 12 for x, and do the same thing
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Is it similar to a dog’s approximation of multiplying by 7 to get the age in
human equivalent years? Why or why not?
:
I don't think it is. The dog's age formula is linear
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