Question

The moon has a weaker gravitational pull than Earth, so objectsweigh less on the moon. For example, Jaxon weighs 30 pounds onthe moon and 185 pounds on Earth. Viola weighs 135 pounds onEarth and 22 pounds on the moon.A. Show that the relationship between weight on the moon andweight on Earth is proportional.Jaxon:Viola:

Answer 1

Answer:

The constant of proportionality for;

$=\frac{\text{Moon weight}}{\text{Earth weight}}=\frac{1}{6}$

Explanation:

Given that;

Jaxon's weight on moon is;

$30\frac{5}{6}$

And his weight on earth is;

$185$

The constant of proportionality;

$\begin{gathered} =\frac{\text{Moon weight}}{\text{Earth weight}} \\ \text{For Jaxon;} \\ =\frac{30\frac{5}{6}}{185}=30\frac{5}{6}\div185=\frac{185}{6}\times\frac{1}{185}=\frac{1}{6} \end{gathered}$

The same applies to Viola;

$\begin{gathered} =\frac{\text{Moon weight}}{\text{Earth weight}} \\ =\frac{22\frac{1}{2}}{135}=22\frac{1}{2}\div135=\frac{45}{2}\times\frac{1}{135}=\frac{1}{6} \end{gathered}$

Therefore, The constant of proportionality for;

$=\frac{\text{Moon weight}}{\text{Earth weight}}=\frac{1}{6}$