Question

From 1985 to 2003, the total attendance A (in thousands) at NCAA women’s basketball​ games can be modeled by =−1.95^3​ +70.1x^2​ −188+2150 where x is the number of years since 1985.

a. What is the initial value of this function (the attendance in 1985)?



b. Find the attendance for the year 1998.

Answer 1

• 2150
• 7269

Explanation:

We assume your intended attendance equation is ...

A = -1.95x^3 +70.1x^2 -188x +2150

a. For x=0 (corresponding to 1985), the first three terms are 0, so we have ...

A = 2150 . . . . the initial value of the function

__

b. For x=13 (corresponding to 1985) we have ...

A = ((-1.95(13) +70.1)(13) -188)(13) +2150 = (44.75(13) -188)(13) +2150

= 393.75(13) +2150 = 7268.75

Attendance in the year 1998 is modeled to be about 7269.