|
|
1.
|
Wind chill factor (W) varies directly with temperature (T) and
inversely with the wind velocity (v). If k is the constant of proportionality, which
formula represents this relationship?
|
|
2.
|
n varies directly as p and the constant of variation is  . Which equation represents the relationship?
A) | n = p. | B) | n = p -  | C) | n = p | D) | n = p +  |
|
|
3.
|
c varies directly as d and c = 1 when d = 5. What is
the constant of variation?
A) | 4 | B) |  | C) |  | D) | –4 |
|
|
4.
|
Which equation represents an inverse variation?
|
|
5.
|
In which graph is y a direct variation of x?
|
|
6.
|
If t varies directly as u and t = 5 when u = 3, what
is the value of t when u = 9?
|
|
7.
|
Hannah was looking a picture of herself and 3 friends. She measured the
height of her image as 7 centimenters. If Hannah is acutally 65 inches tall, which equation can
she use to find h, the actual height in inches, of one of her friends who is c centimeters tall in
the picture?
A) | h = 7c | B) | h = c | C) | h = c | D) | h = c |
|
|
8.
|
A electrician bills his customers $70 for each hour he works. If a
client’s bill is $850, which equation could be used to find the number of hours
worked?
|
|
9.
|
Dora’s paycheck earnings, p, varies directly as the number of
hours, h, she works. If she works 15 hours and earns $126.00, what should she earn if she
worked 29 hours?
A) | $140.00 | B) | $141.00 | C) | $243.60 | D) | $170.00 |
|
|
10.
|
In the table, y varies directly with x. Which equation best describes the data?
|
|
11.
|
Distance, d, varies directly as time, t, when speed remains
constant. If d is 175 kilometers when t is 5 hours, what is the constant speed?
A) | 875 kmh | B) | 170 kmh | C) | 35 kmh | D) |
kmh |
|
|
12.
|
For a group of objects made of the same material, the weight of an object varies
directly with its volume. If an object that has a volume of 14 cubic centimeters weighs 30 grams,
what is the constant of variation?
|
|
13.
|
The circumference, c, of a circle varies directly as the diameter,
d, of the circle. If k is the constant of variation, which equation represents that
situation?
|
|
14.
|
In which table does y not vary directly as x ?
|
|
15.
|
Which of the following graphs shows a direct variation?
|
|
16.
|
Which of the following tables indicates that x and y vary
directly?
|
|
17.
|
The time it takes to travel a given distance varies inversely as the average
rate of travel. Averaging 45 miles per hour, it takes Paula 4 hours to drive to Airy. If
it took him 5 hours and 20 minutes to reach Airy on her last trip, what was her average rate of
travel?
A) | 31.8 mph | B) | 32.7 mph | C) | 33.8 mph | D) | 34.8
mph |
|
|
18.
|
Hooke’s law states that the force required to stretch a spring varies
directly with the distance the spring is stretched. If a 16-pound force stretches a spring 4 inches,
what force is required to stretch the spring 9 inches?
A) | 25 lbs | B) | 80 lbs | C) | 36 lbs | D) | 59
lbs |
|
|
19.
|
Boyle’s Law states that, for a fixed amount of gas, the volume of the gas
at a constant temperature is inversely proportional to the pressure. If a certain gas occupies 10.32
liters at a pressure of 49.3 centimeters of mercury (cm Hg), what is the approximate pressure when
the volume is increased to 12 liters?
A) | 41.3 cm Hg | B) | 42.4 cm Hg | C) | 44.5 cm Hg | D) | 46.6 cm
Hg |
|
|
20.
|
In which of the following is w directly proportional to u and
inversely proportional to the cube of v?
|
|
21.
|
Assuming k is a constant of variation, which equation represents a situation in
which m varies jointly as p and q?
|
|
22.
|
Which equation represents the
statement: “g is inversely proportional
to h.”?
|
|
23.
|
A farmer pumps water from an irrigation well to water his field. The time it
takes to water the field varies inversely with the rate at which the pump operates. It takes 20 hours
to water the field when the pumping rate is 650 gallons per minute. If he adjusts the pump so that it
pumps at a rate of 400 gallons per minute, about how long will it take to water the field?
A) | 12.3 hours | B) | 44.8 hours | C) | 32.5 hours | D) | 36
hours |
|
|
24.
|
Which equation represents the statement
“e is inversely
proportional to f and directly proportional to the cube of g”?
|
|
25.
|
The time it takes to do a job is inversely proportional to the number of
workers. If 8 workers can do a job in 5 weeks, then 14 workers can do the same job in --
A) | 1.43 weeks | B) | 2.86 weeks | C) | 4.29 weeks | D) | 5.71
weeks |
|