Question

1. janes class gave examples of absolute - value in distances traveled. which example demonstrates the greatest distance traveled? jim jumped on a trampoline to a height of 8.67 feet. brenan dove to a depth of - 12.76 feet. teresa rode an elevator to a depth of - 10 feet. kailey hopped a length of 7.612 feet.

Explanation:

Step1: Recall absolute - value formula

The absolute value of a number \(x\), denoted as \(|x|\), is the non - negative value of \(x\). If \(x\geq0\), then \(|x| = x\); if \(x<0\), then \(|x|=-x\).

Step2: Calculate absolute values for each case

For Kailey: \(|7.612| = 7.612\).
For Teresa: \(|- 10|=10\).
For Brenan: \(|-12.76| = 12.76\).
For Jim: \(|8.67| = 8.67\).

Step3: Compare the absolute values

We compare the values \(7.612\), \(10\), \(12.76\), and \(8.67\). We know that \(7.612<8.67<10<12.76\).

Answer:

Brenan dove to a depth of - 12.76 feet.