Question

Emmitt is riding his bike in order to get a workout. He can travel 1 mile in 6 minutes. Emmitt writes the following equation to describe the total distance traveled on his bike.

Answer 1

We have an equation that relates the distance (d) and the time (t):

`d=(1)/(6)t`

We have to identify the table that correspond to this relation.

For the table to represent this relationship, all its row have to satisfy the equation. If one of the rows does not satisfy the equation, then the table does not correspond to the relationship.

First table:

In this case, the difference is in the third row:

`d(20)=(1)/(6)\cdot20\approx3.33\\eq3`

This table does not match the equation.

Second table:

We calculate the values of d for each row:

`\begin{gathered} d(6)=(1)/(6)\cdot6=1 \\ d(18)=(1)/(6)\cdot18=3 \\ d(30)=(1)/(6)\cdot30=5 \end{gathered}`

This table does match the equation.

We can see that the third table has differences in the third row and the fourth table too.

Answer: The second table match the equation.