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The average distance from
Earth to the Sun is 92.95 million miles. The actual
distance varies from the average by up to 1.55 million
miles. Write and solve an absolute value equation to
find the minimum and maximum distance from
Earth to the Sun.

Respuesta :

Using an absolute value equation, it is found that:

  • The minimum distance from the sun is of 91.4 million miles.
  • The maximum distance from the sun is of 94.5 million miles.

What is the absolute value function?

The absolute value function is defined by:

  • |x| = x, x >= 0.
  • |x| = x, x < 0.

It measures the distance of a point x to the origin of x = 0, which means that both -2 and 2 are 2 units from 0, hence |-2| = |2| = 2.

The distance between x and 92.95 is of 1.55, hence the absolute value function is:

|x - 92.95| = 1.55.

The solutions are:

  • x - 92.95 = -1.55 -> x = 91.4.
  • x - 92.95 = 1.55 -> x = 94.5.

Hence:

  • The minimum distance from the sun is of 91.4 million miles.
  • The maximum distance from the sun is of 94.5 million miles.

More can be learned about the absolute value function at https://brainly.com/question/24734454

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