Question

1. write the statement: “the force of gravity acting on an object is inversely proportional to the square of the distance from the object to the center of the earth” as a power function. use k as the constant of variation.

Explanation:

Step1: Recall inverse - proportion formula

If $y$ is inversely proportional to $x$, the formula is $y=\frac{k}{x}$. Here, let $F$ be the force of gravity and $d$ be the distance from the object to the center of the Earth. Since $F$ is inversely proportional to the square of $d$, we start building the formula.

Step2: Write the power - function

The power - function form is $F=\frac{k}{d^{2}}$, where $k$ is the constant of variation.

Answer:

$F = \frac{k}{d^{2}}$