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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) = 15T2 + 60T + 300. Similarly, the number of bacteria in another food is given by the function, N2(T) = 20T2 – 5T + 150. Determine an equation that describes the number of bacteria in both the foods when they are mixed.

The Number Of Bacteria In A Certain Food Is A Function Of The Foods Temperature The Number Is N1T At A Temperature T Degrees Celsius Described By The Equation N class=
The Number Of Bacteria In A Certain Food Is A Function Of The Foods Temperature The Number Is N1T At A Temperature T Degrees Celsius Described By The Equation N class=

Answer :

Given the functions:

[tex]N_1(T)=15T^2+60T+300[/tex][tex]N_2(T)=20T^2-5T+150[/tex]

You need to add them, in order to find the equation that describes the number of bacteria in both foods when they are mixed.

Therefore, you need to set up:

[tex]N_1(T)+N_2(T)=(15T^2+60T+300)+(20T^2-5T+150)[/tex]

Adding the like terms, you get:

[tex]N_1(T)+N_2(T)=35T^2+55T+450[/tex]

Hence, the answer is: Third option.

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