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.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have

so, converting firstly the mixed fractions to improper fractions and then "adding".