1.
Which characteristic describes a graph that is linear and has direct variation.
A.
Variables
x
and
y
are not proportional.
B.
The equation has the form
y
=
mx
.
C.
The equation has the form
y
=
mx
+
b
.
D.
The graph does not pass through (0, 0).
Hint
2.
Find the equation that has direct variation.
A.
y
= 4
x
B.
y
= –3
x
– 1
C.
y
= 5
x
+ 1.3
D.
y
= 0.8
x
+ 9
Hint
3.
Find the situation that involves a decreasing linear relationship and has direct variation.
A.
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport.
B.
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second.
C.
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second.
D.
The temperature that begins at 0°
F
at 6:00 a.m. rises 3°
F
every hour for 6 hours.
Hint
4.
Find the equation that is nonlinear.
A.
y
= 4
y
2
B.
y
= 14 + 6
x
C.
y
= 8 –
x
D.
y
= –3
x
– 1
Hint
5.
Find the table that represents a graph with direct variation.
A.
B.
C.
D.
Hint