Question

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

Answer 1

It’s 4x - 4y because to find the commute you add the two terms making 4x - 4y

Answer 2

4x-4y

Explanation:

Given time to work by hazel = x+6y

Time from work = 3x-10y

The expression which represents the total time Hazel spends commuting to and from work each day will be the sum of function of time hazel spend to work and from work.

Let time to work be f(x) and time from work be g(x)

The total time taken to and fro will be f(x)+g(x)

f(x)+g(x) =x+6y +(3x-10y)

f(x)+g(x) = x+3x+6y-10y

f(x)+g(x) = 4x-4y