Question

weight varies directly with gravity with his equipment buzz aldrin weighed 360 pounds on earth but only 60 pounds on the moon.complete the table to represent the situation round your answers to the nearest whole number if someone weights 0 pounds on earth what would the weight on the moon

Answer 1

ANSWER

The linear equation is y = 1/6 x where x is the weight on Earth and y is the weight on the Moon.

EXPLANATION

A direct variation of a variable with the other is :

$y=kx$

where k is the constant of proportionality.

In this problem, we know that when something weights 360 pounds on Earth it weights 60 pounds on the Moon:

• y: weight on the Moon

,

• x: weight on Earth

$60=k360$

With this information we can find the constant of proportionality:

$\begin{gathered} k=\frac{60}{360} \\ k=\frac{1}{6} \end{gathered}$

Therefore, the linear equation that represents this is:

$y=\frac{1}{6}x$

For each row of the table, we can find the weight on the Moon knowing the weight on Earth with this equation.

If an object weights 0 pounds on Earth, the weight on the Moon will be 0 pounds.