Direct and Inverse Variation Worksheet
This worksheet covers direct and inverse variation concepts, including identifying relationships, solving problems, and graphing.
Includes
Standards
Direct and Inverse Variation
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. Which equation represents a direct variation?
y = x + 3
y = 3x
y = 3/x
y = x - 3
2. If y varies inversely as x, and y = 4 when x = 2, what is the constant of variation?
2
6
8
1/2
1. In a direct variation, as one quantity increases, the other quantity .
2. The equation for inverse variation is y = , where k is the constant of variation.
1. If y varies directly as x, and y = 10 when x = 5, find y when x = 12.
2. The time (t) it takes to travel a certain distance varies inversely with the speed (s). If it takes 4 hours to travel a distance at 60 mph, how long will it take to travel the same distance at 80 mph?
1. The graph of a direct variation is always a straight line passing through the origin.
True
False
2. The graph of an inverse variation is a parabola.
True
False
1. Graph the direct variation y = 2x.
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