Respuesta :
Answer:
5,330
Step-by-step explanation:
Given
A(t) = -1.95t³ + 70.1t² – 188t + 2150
Where,
t = number of years since 2000
Find the attendance for the year 2010
t = 10 (2000 to 2010)
A(t) = -1.95t³ + 70.1t² – 188t + 2150
= -1.95*10³ + 70.1*10² - 188*10 + 2150
= -1.95*1000 + 70.1*100 - 1,880 + 2150
= -1,950 + 7,010 - 1,880 + 2,150
= 5,330
A = 5,330
The attendance for the year 2010 = 5,330
The attendance for the year 2010 is 5,330.
Given that,
- The polynomial function is [tex]A(t) = -1.95t^3 + 70.1t^2 - 188t + 2150[/tex].
- Here t be the no of years.
- From 2000 to 2010, the n be = 10 years.
Based on the above information, the calculation is as follows:
[tex]A(t) = -1.95t^3 + 70.1t^2 - 188t + 2150\\\\ = -1.95t^3 + 70.1t^2 - 188t + 2150\\\\= -1.95 \times 10^3 + 70.1\times 10^2 - 188\times 10 + 2150\\\\= -1.95\times 1000 + 70.1\times 100 - 1,880 + 2150\\\\= -1,950 + 7,010 - 1,880 + 2,150[/tex]
= 5,330
Therefore, we can conclude that the attendance for the year 2010 is 5,330
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