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vladimir1956 [14]
3 years ago
8

A swimming pool is treated periodically to control harmful bacteria growth.

Mathematics
1 answer:
marta [7]3 years ago
3 0

Answer:

The answer is 4

Step-by-step explanation:

c \: (t) =  {30ft}^{2}  =  - 240t + 500

For a quadratic function as given to find the minimum you need to write it in vertex or find the vertex (the vertex in a quadratic function is thr maximum or minimum).

Use the next formula to find the t coordinate of the vertex (the time in the minimum concentration of bateria):

c \: (t) =  {at}^{2}  + bt + c \\  \\ tm =  -  \frac{b}{2a}

For the given function:

tm =  -  \frac{ - 240}{(2)30}  =  \frac{240}{60}  = 4

The minimum concentration of bacteria will be after 4 days.

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