The correct statement that describes the relationship between the mass of two objects and their gravitational attraction toward each other is:
If the mass of one object increases while the mass of the other object remains the same, then the gravitational attraction increases.
Gravitational attraction is directly proportional to the mass of the objects involved. According to Newton's law of universal gravitation, the force of gravitational attraction (F) between two objects is given by the equation:
\[ F = G \frac{m_1 m_2}{r^2} \]
where \( G \) is the gravitational constant, \( m_1 \) and \( m_2 \) are the masses of the two objects, and \( r \) is the distance between their centers. Therefore, if one object's mass increases while the other's remains the same, the gravitational force between them will also increase.