Question

Karen recorded her walking pace in the table below. what equation best represents this relationship

Answer 1

Given Data:

The table given here shows time taken in the first column and the distance travelled in the second column.

First check the ration of distance /time to verify if the speed of the man is constant or not.

`\begin{gathered} \frac{8.75\text{ m}}{2.5\text{ h}}=3.5\text{ m/h} \\ \frac{14\text{ m}}{4\text{ h}}=3.5\text{ m/h} \end{gathered}`

As both ratios are same it means the speed of the man is constant and the distance travelled is directly proportional to the time taken and varies linealy with the time.

Now to determine the relationship between m and h we will use the same ratio of m and h which comes in the previous step.

`\begin{gathered} (m)/(h)=3.5 \\ m=3.5h \end{gathered}`

Thus, option (D) is the required solution.