Problema Solution
A person is driving a car along a straight road. The accompanying graph shows the distance y in miles that the driver is from home after x hours. The graph is showing: (0,250), (1,200), (2, 150), (3,100), (4,50) and (5,0). A) is the person traveling toward or away from home? Why? B) the graph passes through (1,200) and (3,100). Discuss the meaning of these points. C) find the slope-intercept form of the line. Interpret the slope as rate of change. D) use the graph to estate the distance from home after 2 hours. Then check your answer by using your equation from part (c).
Answer provided by our tutors
A)
The person is traveling toward home
B)
(1,200) means the person is 200 miles from home after traveling 1 hour
(3,100) means the person is 100 miles from home after traveling 3 hours
C)
The slope-intercept form of the line is y=-50x+250
The slope is -50 miles per hour
D)
the distance from home after 2 hours is 150 miles
In part (c), when x=2, y = 150, it's same