Question

The minimum distance from Earth to the Sun is 91.4 million miles. The maximum distance is 94.5 million miles write a absolute value equation.

Answer 1

Solution :

The minimum distance from Earth to the Sun is 91.4 million miles

The maximum distance is 94.5 million miles

$d_{min} = 91.4, d_{max} = 94.5$

$d=\frac{d_{min} + d_{max}}{2}$

$d=\frac{91.4 + 94.5}{2}$

d=92.95

$d_{sol}=\frac{d_{max} - d_{min}}{2}$

$d_{sol}=\frac{94.5 - 91.4}{2}$

$d_{sol} =1.55$

Absolute Value Equation:

|x - d| = $d_{sol}$

|x - 92.95| = 1.55