Question

jayden's walkie-talkie has a range of 3 miles. jayden is traveling on a straight highway and is at mile marker 253. identify the absolute-value equation and solution to find the minimum and maximum mile marker from 253 that jayden's walkie-talkie will reach.

Answer 1

The minimum and maximum mile marker from 253 that Jayden's walkie-talkie will reach are 250 and 256, respectively.

Step-by-step explanation:

To find the minimum and maximum mile marker from 253 that Jayden's walkie-talkie will reach, we need to set up an absolute-value equation representing the different scenarios.

Let's assume that the minimum mile marker Jayden's walkie-talkie can reach is x miles away from mile marker 253. In this case, the absolute-value equation would be |x - 253| = 3.

Solving this equation, we get two solutions: x = 256 and x = 250. Therefore, the minimum mile marker Jayden's walkie-talkie can reach is 250 miles away from mile marker 253.

The maximum mile marker it can reach is 256 miles away from mile marker 253.