Name _________________________
Algebra I
Unit 10 Day 3 Homework
Date ___________
Determine if the following represent direct, inverse or no variation. If there is a direct or
inverse variation state the constant of variation.
1)
3)
x
y
2
24
3
16
4
12
6
8
2) 3y = -4x
4)
x
y
2
12
3
18
5
30
7
42
5) y varies directly with x. Write an equation relating x and y if x = 2 and y = -4. Find y
when x = 5.
6) y varies inversely with x. Write an equation relating x and y if x = 3 and y = 5. Find y
when x = 2.
Write a direct variation equation for the following graph.
7)
8) Which graph(s) below represent a direct variation relationship? (Circle all that apply.)
A)
B)
C)
D)
9) The time it takes to fly from Los Angeles to New York varies inversely as the speed of
the plane. Write an equation that relates x and y if it takes 6 hours for a plane traveling
at 900 miles per hour. How long would the same trip take if the plane had to slow down
to 800 miles per hour?
10) The number of kilograms of water in a person’s body varies directly as the person’s
weight. A person that weights 90 kg contains 60 kg of water. Write an equation that
relates weight with kilograms of water. How many kilograms of water are in a person
that weighs 50 kg?