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

If x represents the year then that implies that y is equal to the number of new diseases every year. Therefore in order to solve this equation you need to input x. y= -2(15)^2 + 36(15) +6 Now solve, but please remember to use PEDMAS order in order to solve this problem. P= Parentheses E= Exponents D = Division M= Multiplication A= Addition S= Subtraction So solve the parentheses first y= -30^2 + 540 + 6 Now the exponent. y= 900 + 540 + 6 Now add them all together. y= 1446 So 1,446 is the number of new cases in year 15. y=

Hello!

the answer is:

the correct option:

b.

why?

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!