# The following sketch represents the distance d​ (in miles) that Kevin was from home as a function of time t​

The following sketch represents the distance d​ (in miles) that Kevin was from home as a function of time t​ (in hours). Answer the questions based on the graph shown to the right. In parts ​(a) to ​(g)​, how many hours elapsed and how far was Kevin from home during this​ time? Complete parts ​(a) through ​(i).
A coordinate system has a horizontal t-axis and a vertical d(t)-axis that intersect at (0, 0). The following plotted points are connected by line segments from left to right: (0, 0 (3, 9 (3.3, 9 (3.9, 0). A curve rises from left to right from a plotted point at (4.2, 0) to a plotted point at (4.8, 8.5). The curve then travels horizontally to a plotted point at (5, 8.5) where it then falls from left to right at a decreasing rate to a plotted point at (6.2, 0).
(3, 9)
(3.3, 9)
(3.9, 0)
(4.2, 0)
(4.8, 8.5)
(5, 8.5)
(6.2, 0)
d(t)
t
​(a) From t=0 to t=3​, how many hours​ elapsed?