The expression indicates that the total earnings of Mike over the two weeks amount to 2.05x dollars
Solution:
It is given that Mike earned x dollars during the first week at his new job,
While in the second week, he earned 5% more than the earnings of the first week.
To determine: Total earnings over the two weeks
From the information provided,
Earnings in the first week = "x" dollars
Earnings in the second week = 5% more than first week earnings
Thus,
Earnings in the second week = x + 5% of x
Therefore, earnings in the second week equal to 1.05x dollars
The total earnings over the two weeks:
Total earnings = Earnings from first week + Earnings from second week
Thus, the expression for the total earnings of Mike for both weeks is 2.05x dollars