Question

The number of bacteria in a certain food is a function of the food’s temperature. The number is N1(T) at a temperature T degrees Celsius, described by the equation N1(T) = 10T² + 45T + 400. Similarly, the number of bacteria in another food is given by the function, N2(T) = 5T² – 25T + 250. Determine an equation that describes the number of bacteria in both the foods when they are mixed.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

N1(T) = 10T² + 45T + 400

N2(T) = 5T² – 25T + 250

Step 02:

functions:

N(T) = N1(T) + N2(T)

N(T) = (10T² + 45T + 400) + (5T² – 25T + 250) = 15T² + 20T + 650

The answer is:

N(T) = 15T² + 20T + 650