Brian and jared live in the same apartment complex and they both bike to and from work every day. the figure above shows a typical commute home for each of them. based on the figure, which of the following statements is true? a) it takes brian longer to bike home because his work is farther awayb) it takes jared longer to bike home because his work is farther awayc) jared and brian arrive home at the same time, so they must bike at about the same rated) jared bikes a longer distance than brian in the same amount of time, so jared must bike at a faster rate

A) It takes Brian longer to bike home because his work is farther away.

Step-by-step explanation:

Out of the four statements, A makes the most sense. B and C are implausible based on the given information. D makes no sense seeing that it isn't given that they work in/at the same place, making it something that can't be proven.

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.