Answer:
$98,550
Step-by-step explanation:
To find the value of the signed baseball card in 2025 using the given function [tex]V(t) = 2t^3 - 48t^2 + 300t[/tex] by using the remainder theorem, we simply substitute [tex]t = 2025 - 1980 = 45[/tex] into the function.
[tex] V(45) = 2(45)^3 - 48(45)^2 + 300(45) [/tex]
Calculating this expression:
[tex] V(45) = 2(91125) - 48(2025) + 13500 [/tex]
[tex] V(45) = 182250 - 97200 + 13500 [/tex]
[tex] V(45) = 98550 [/tex]
Therefore, the value of the signed baseball card in 2025, according to the given model, is $98,550.
