Question

The number of cases of a new disease can be modeled by the quadratic regression equation y = –2x^2 + 44x + 8, where x represents the year. Which is the best prediction for the number of new cases in year 20?
a. 234
b. 422
c. 618
d. 88

Answer 1

-2(20)^2 + 44(20) + 8
= -800 + 880 + 8  = 88

Its d.

Answer 2

Answer:

Option d is correct

88 is the best prediction for the number of new cases in year 20

Step-by-step explanation:

The number of cases of a new disease can be modeled by the quadratic regression equation :

$y = -2x^2+44x+8$         .....[1]

where, x represents the year.

We have to find the best prediction for the number of new cases in year 20.

Substitute x = 20 years in [1] we have;

$y = -2(20)^2+44(20)+8 = -800+880+8 = 80+8 = 88$

Therefore, 88 is the best prediction for the number of new cases in year 20