Answer :
If there are a total of 162 games, and every then games the player hits 2 home runs, we can divide the total amount of games by 10 then multiply the quotient by 2.
162 / 10 is approximately 16.
16 × 2 = 32
32 + 77 = 109 career home runs
Using the slope intercept relation, the required equation and the number of home runs at season end would be ;
- y = 0.2x + 77
- 109
Recall :
- y = bx + c
- c = initial number of hime runs = 77
- b = slope
- y = total career home runs
- x = number of games played
Slope, b = 2 home runs per 10 games = 2/10 = 0.2
The expression can be represented thus:
- y = 0.2x + 77
Number of home runs at the end of the season :
x = 162
y = 0.2(162) + 77
y = 32.4 + 77
y = 109.4
y = 109
Hence, Total number of hime runs would be 109.
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