Question

The average distance of the Earth from the Sun is 93 million miles. This distance is not constant due to the elliptical rotation of the Earth around the sun and can vary by approximately 1.6 million miles. Which equation can be used to represent the minimum and maximum distances between the Earth and the Sun? |x - target| = varies

Answer 1

`|x-93|=1.6`

Explanation:

Let x be the Maximum and Minimum Sun Earth distance

The average distance between Earth and Sun is 93 million miles.

The distance varies by 1.6 million miles.

The equation to find the maximum and minimum value will be

`|x-93|=1.6`

When modulus function is used one value of the function will be positive and the other will be negative.

`x-93=1.6\\\Rightarrow x=93+1.6\\\Rightarrow x=94.6`

`-(x-93)=1.6\\\Rightarrow 93-x=1.6\\\Rightarrow x=93-1.6\\\Rightarrow x=91.4`

So, the maximum and minimum Earth Sun distance is 94.6 and 91.4 million miles respectively.