Final answer:
The rate of change of A-rod's hits per game between the 30th and the 110th game is 0.75 hits per game, calculated by the change in hits divided by the change in games (60 hits / 80 games).
Step-by-step explanation:
To find the rate of change of A-rod's hits in baseball games, we will apply the formula for the slope of a line, which represents the rate of change. The slope (m) is given by the ratio of the change in the number of hits (Δhits) to the change in the number of games (Δgames), described by the formula m = Δhits / Δgames.
- After 30 games, A-rod had 25 hits.
- After 110 games, he had 85 hits.
To calculate the rate of change:
- Find the change in the number of hits: 85 hits - 25 hits = 60 hits.
- Find the change in the number of games: 110 games - 30 games = 80 games.
- Apply the formula for the rate of change m = Δhits / Δgames = 60 hits / 80 games = 0.75 hits per game.
Thus, the rate of change of A-rod's hits per game between the 30th and the 110th game is 0.75 hits per game.