1.
Which characteristic describes a graph that is linear and has direct variation.
A.
The equation has the form
y
=
mx
.
B.
The equation has the form
y
=
mx
+
b
.
C.
Variables
x
and
y
are not proportional.
D.
The graph does not pass through (0, 0).
Hint
2.
Find the graph that does not have direct variation.
A.
B.
C.
D.
Hint
3.
Find the situation that involves a decreasing linear relationship and has direct variation.
A.
The temperature that begins at 0°
F
at 6:00 a.m. rises 3°
F
every hour for 6 hours.
B.
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport.
C.
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second.
D.
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second.
Hint
4.
Find the situation that is linear but does not have direct variation.
A.
At the beginning of the summer, Dina had $200 in the bank. She withdrew $30 to buy a new pair of shorts.
B.
At the beginning of the summer, Dina had $200 in the bank. She started a job and deposited $10 per week.
C.
At the beginning of the summer, Dina had $0 in the bank. She started a job and deposited $10 per week.
D.
At the beginning of the summer, Dina had $0 in the bank. She earned $50 mowing lawns the previous week and deposited the money in the bank.
Hint
5.
Find the equation that is nonlinear.
A.
y
= 14 + 6
x
B.
y
= 8 –
x
C.
y
= 4
y
2
D.
y
= –3
x
– 1
Hint