Section: Math 0 Likes
The function R gives the predicted average rating, expressed as a (May 2023 U.S.)
R(t) = 1,830 - 790(2.71)^-.18t
The function R gives the predicted average rating, expressed as a number of points, in the German chess federation database for a player based on the number of years, t, the player has participated in professional chess tournaments.
Which of the following represents the predicted average rating of a player who has just entered their first professional chess tournament?
A. R(-0.18)
B. R(0)
C. R(790)
D. R(1,830)
Solution
Correct answer: B. R(0).
To determine the predicted average rating of a player who has just entered their first professional chess tournament, we need to find the value of R(t) when t = 0.
Given the function:
R(t) = 1,830 - 790(2.71)^-.18t
When t = 0, the function becomes:
R(0) = 1,830 - 790(2.71)^-.18(0)
R(0) = 1,830 - 790(1)
R(0) = 1,040
Therefore, the predicted average rating of a player who has just entered their first professional chess tournament is 1,040 points.
The correct answer is B. R(0).
Exam Edition: May 2023 U.S.
Exam Year: 2023
Related topics: Exponential function