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The number of bacteria (b) in a batch of refrigerated food is given by the function b(t) = 20t2 − 70t + 300, where t is the temperature of the food in degrees Fahrenheit. The function t(h) = 2h + 3 gives the temperature of the food h hours after it is removed from refrigeration. Which expression correctly represents the number of bacteria (b) in the food as a function of the number of hours (h) the food is unrefrigerated?

Respuesta :

LammettHash
If the number of bacteria [tex]b(t)[/tex] is a function only of temperature [tex]t[/tex], and the temperature [tex]t(h)[/tex] is a function only of time in hours [tex]h[/tex], then

[tex]b(t(h))=b(2h+3)=20(2h+3)^4-70(2h+3)+300[/tex]
[tex]b(t(h))=320h^4+1920h^3+4320h^2+4180h+1710[/tex]

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