ken normally leaves work at 5: 00 pm, but he is leaving 20 minutes late today. he decides to make up time by taking the toll road instead of side streets. he can travel three times faster by taking the toll road. create an equation in terms of x to represent the number of minutes after 5: 00 pm he arrives home from work if he leaves late. let x represent the number of minutes his normal commute takes when he leaves on time.

y = 1/3x + 20

y = 3x + 20

y = 1/3x - 20

y = 3x − 20

Step-by-step explanation:

Here we have to analyse to get the answer.

x represents the amount of minutes Ken take's to leave work, and he's leaving 20 minutes later. So, at this point he is gonna take (x + 20) minutes to go home. But, he decide to take the roll road, which make him get home 3 times faster, here is the common mistake, people tend to multiply 3x, but if we analyze, that would mean that he's taking more time to get home, instead, the problem says that he is gonna be home faster.

So, the expression of going home three times faster is , which is a decreasing factor.

Now, if we add the 20 minutes late:

At last, if we represent all this as a linear function or equations, we add the other variable:

Therefore, the correct answer is the first option.