Part A: To represent the number of field goals Wilt Chamberlain scored, we can use the fact that each field goal is worth two points. The total points from field goals (2x) added to the points from free throws (28) should equal the total points scored (100). Therefore, the correct equation is: 100=28+2x
So, the correct choice is: A) 100=28+2x
Part B: To find the number of field goals (x) Chamberlain scored, we can solve the equation obtained in Part A: 100=28+2x
Subtract 28 from both sides: 2x=72
Divide by 2:x=36
Therefore, Wilt Chamberlain made 36 field goals to score 100 points in that game.
In conclusion, the equation 100=28+2x accurately represents the relationship between the total points scored, free throws, and field goals. Chamberlain made 36 field goals to achieve the historic record of 100 points in a single NBA game in 1962.
Wilt Chamberlain made 36 field goals to contribute to his historic 100-point game, as determined by solving the equation 100=28+2x. This mathematical representation encapsulates the balance between points from free throws and the value of field goals, showcasing the scoring prowess of Chamberlain in that remarkable NBA performance.