Answer: 102 games
======================================
Step-by-step explanation:
Let's say that the team plays 27 games in the first month of the season. Of those 27 total games, they win 17 and lose 10
A = number of wins = 17
B = total number of games played in first month = 27
---------
Now let's extend it out to a whole season
C = number of wins in the season = unknown
D = total number of games played in a season = 162
---------
If the winning rate stays the same as it did in the first month, then we can set up the proportion below
A/B = C/D
from here plug in the given values and solve for C
A/B = C/D
17/27 = C/162
17*162 = 27*C ... cross multiply
2754 = 27*C
27C = 2754
27C/27 = 2754/27 ... divide both sides by 27
C = 102
The team will win 102 games total throughout the season assuming the team wins at the same rate as the first month.
Note how
A/B = 17/27 = 0.62962962962962
C/D = 102/162 = 0.62962962962962
both fractions produce the same decimal number, so the two fractions are equal to one another. The winning rate is roughly 62.96%