Which of the following describes a linear relationship? and why?

Question

a)A jogger ran faster and faster.

b)A jogger ran at a steady pace.

c)For the past five years, the tuition at a university increased $350 every semester.

d)The number of students with the flu doubled every week.

e)Every three months, the population of Smallville decreased by 17 people

Answer 1

b) because he is constantly running the same speed.

Answer 2

you may be able to answer this for yourself if you are comfortable with the concept of graphing number pairs.  If the resulting graph is a straight line (as opposed to a curve), then there is a linear relationship.

for example, 'd' is not a linear relationship since in the same amount of time (one week), the number of flu-ridden students is not always the same.

but 'e' *is* a linear relationship since every 3 months, the population changes by the same amount.

Answer 3

All, depending on what you mean by "faster and faster".