Question

in the years from 2010 to 2015, the basketball player lebron james played 17,860 minutes, more than any other player in the national basketball association. kevin durant is second, with 15,595 minutes played in those years. if kevin durant averaged 38 minutes per game, what is the least number of additional games he would have had to play to surpass lebron jamess record? the answer should be a whole number.

Explanation:

Step1: Find the minute - gap

We first find the difference in minutes between LeBron James' and Kevin Durant's playing time from 2010 - 2015. Let \(J = 17860\) (LeBron James' minutes) and \(D=15595\) (Kevin Durant's minutes). The difference \(\Delta M=J - D\).
\(\Delta M=17860−15595 = 2265\) minutes.

Step2: Calculate the number of additional games

Since Kevin Durant averages 38 minutes per game, let the number of additional games be \(n\). We want to find \(n\) such that \(38n>2265\). Solving for \(n\), we get \(n>\frac{2265}{38}\approx 59.605\).
Since \(n\) must be a whole - number, we round up to the next whole number.

Answer:

60