F– Direct and Inverse Variation Test Review
Name:_________________________________
Alg 1
Date:________________B______________
You must show ALL WORK!
Given that y varies directly with x, use the specified values to write a direct variation equation that relates x
and y. Then find y when x = 2
1. x = 3, y = 15
constant of variation=
new point:
equation:
Given that y varies inversely with x, use the specified values to write an inverse variation equation that relates
x and y. Then find y when x = 4.
2. x = 10 y = -2
constant of variation=
new point:
equation:
Given the graphs I, II and III:
I.
II.
III.
3. Which one(s) show(s) direct variation. Select one answer.
A. I only
C. II only
E. III only
B. I & II only
D. II & III only
F. I, II and III
Tell whether the table represents direct, inverse or no variation. If it does show variation, write the direct or inverse
variation equation.
4.
X
2
3
4
5
6
y
6
9
12
15
18
For #5 & #6, set up an direct or inverse variation equation. Find the constant of variation. Write the equation.
Find the new point.
5. The distance traveled in a given time on Interstate 66 varies directly with the speed. Last week we
traveled 300 miles at 60 miles per hour. How many miles would we travel in the same time period if
we decreased our speed to 50 miles per hour?
6. The amount of work time in hours (h) needed to prepare for the school play varies inversely with the
number of people working (p). Twenty-five people working (p) can complete the job in 150 hours (h).
Write the inverse variation equation that relates h and p. Then find the how many hours it will take if there
are 30 people working.