The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x2 + 36x + 6, where x represents the year.

Which is the best prediction for the number of new cases in year 15?

A. 194
B. 96
C. 328
D. 614

Respuesta :

Answer: B 96


Step-by-step explanation:


By evaluating the function in x = 15, we will see that in the year 15 there will be 96 cases.

Which is the best prediction for the number of new cases in year 15?

The function that predicts the number of cases in the year x is given by:

[tex]y = -2x^2 + 36x + 6[/tex]

So we just need to evaluate that function in x = 15, this means replacing x by 15.

[tex]y = -2*15^2 + 36*15 + 6 = 96[/tex]

So we can expect that in the year 15, there will be around 96 cases. Then the correct option is B.

If you want to learn more about evaluating functions:

https://brainly.com/question/4344214

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