Question

Write an absolute value equation for the problem: I have to fill a bag with marbles. Each bag should have 30 marbles. I am allowed to have 1 marble less or more than 30 marbles. Write an absolute value equation.

A. |x - 30| = 1
B. |x - 29| = 30
C. |x + 1| = 30
D. |x - 30| = 2

Answer 1

The absolute value equation for having 1 marble less or more than 30 marbles is |x - 30| = 1, which allows for having 29 or 31 marbles.

Step-by-step explanation:

This equation represents the difference between the number of marbles, x, and the target number of marbles, 30, being equal to 1. The absolute value ensures that the difference is always positive, regardless of whether x is greater or less than 30.The absolute value equation that represents the situation where you are allowed to have one marble less or more than 30 marbles is |x - 30| = 1. This equation states that the distance from the number of marbles, x, to 30 must be equal to 1. This means you can have either 29 or 31 marbles since both are one marble away from 30.