Question

kiran lives 3 miles away from his school. school ends at 3 p.m. and kiran begins his walk home with noah. noah lives 1 mile away from the school in the direction of kirans house. kiran stays at noahs house for a while and then starts home. on the way, he stops at the library. then he hurries home. the graph is a piecewise - defined function that shows kirans distance from home during the time it took him to arrive home.
how long did kiran stay at noahs house? 2 hours

Explanation:

Step1: Identify the time interval at Noah's house

The distance from home remains constant when Kiran is at Noah's house. Looking at the graph, the y - value (distance from home) is constant between \(x = 2.5\) and \(x = 3\) hours.

Step2: Calculate the time duration

Use the formula for the length of an interval \(t=\text{end time}-\text{start time}\). Here, \(t = 3 - 2.5\)

$$t=3 - 2.5=0.5$$

Answer:

\(0.5\) hours