Question

5) Decide whether the table represents a proportional relationship. Explain how you know and show your work. distance it can be seen (miles) height of a lighthouse (feet) 6 20 9 45 11 70 13 95

Answer 1

From the values given in the table, we can see that the ratio of the height of the light house to the distance it can be seen is not contant.

`\begin{gathered} (20)/(6)=(10)/(3) \\ (45)/(9)=5 \\ (70)/(11),(95)/(13) \end{gathered}`

Since the ratio is not constant, they are not in direct proportion relation.

Also, their product is not fixed.

`\begin{gathered} 20*6=120 \\ 45*9=395 \\ 70*11=770 \\ 95*13=1235 \end{gathered}`

Since their product is not constnat, they are not in inverse proportional relation ship.

Therefore, we can say that the table doesn't represent a proportional relationship.