Question

The number of bacteria, b, in a refrigerated food is given by the function b(t) = 15t2 − 60t + 125, where t is the temperature of food in degrees Fahrenheit. The function t(h) = 3h + 4 gives the temperature, t, of the food h hours after being removed from the refrigerator. Find the number of bacteria in the food in h hours.

Answer 1

t(h) gives temperature as a function of hours, so you can plug 3h + 4 as the value for t in the b(t) function; this will convert b(t) to a function in terms of h, thus satisfying the requirements of the problem

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