Final answer:
To find out how many three-point field goals Tim would need to make in the next game to bring his average to six points per game, we can set up an equation and solve it to find the answer. After solving the equation, we find that Tim would need to make 3 three-point field goals in the next game.
Step-by-step explanation:
To find out how many three-point field goals Tim would need to make in the next game to bring his average to six points per game, we can set up an equation. Let's assume that Tim has played n games, and his total number of three-point field goals made is x. His average points per game can be calculated by dividing the total points (6n) by the total number of games (n). So, the equation is:
6 = (x + 3n) / (n + 1)
We can solve this equation to find x, the number of three-point field goals Tim needs to make. Once we solve the equation and find that x = 9n + 6, we can substitute different values for n to see which option satisfies the equation. After testing the options, we find that Tim would need to make 3 three-point field goals in the next game to bring his average to six points per game.