The table shows the distance a bicyclist travels over time.


Time (hours) 2 3 7 13
Distance (miles) 10 15 35 65


Based on the table, which statement is true?
The table shows a linear relationship and a proportional relationship.

The table does not show a linear relationship or a proportional relationship.

The table shows a linear relationship, but not a proportional relationship.

The table shows a proportional relationship, but not a linear relationship.



Answer :

The correct statement regarding the table is given by:

The table shows a linear relationship and a proportional relationship.

What is a proportional relationship?

A proportional relationship is a linear function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

For each point, the constant is given as follows:

k = 10/2 = 15/3 = 35/7 = 65/13 = 5.

The constant is the same for all points, hence the relationship is both linear and proportional.

More can be learned about proportional relationships at https://brainly.com/question/28291848

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