The time Hazel spends commuting to work can be represented by two expressions:
Time to work: x + 6y
Time from work: 3x − 10y
Which expression represents the total time Hazel spends commuting to and from work each day?
7x − 7y
4x − 4y
4x + 4y
4x − 16y
The expression that represents the total time Hazel spends commuting to and from work each day is:
x + 6y + 3x − 10y
Simplifying this expression, we get:
4x − 4y
Therefore, the answer is option B: 4x − 4y.
To find the total time Hazel spends commuting to and from work each day, you need to add the time it takes her to go to work (x + 6y) and the time it takes her to return from work (3x - 10y).
Therefore, the expression that represents the total time is:
(x + 6y) + (3x - 10y).
To simplify this expression, you can combine like terms:
x + 6y + 3x - 10y = (x + 3x) + (6y - 10y) = 4x - 4y.
So, the correct expression that represents the total time Hazel spends commuting to and from work each day is 4x - 4y.