16 questions
State what type of variation the equation represents.
Direct
Inverse
Joint
None
State what type of variation the equation represents.
Direct
Inverse
Joint
None
State what type of variation the equation represents.
Direct
Inverse
Joint
None
State what type of variation the equation represents.
Direct
Inverse
Joint
None
The weight of a liquid varies directly as its volume V. If the weight of the liquid in a cubical container 5 cm on a side is 250 g, find the weight of the liquid in a cubical container 3 cm on a side.
12 g
6 g
27 g
54 g
The distance it takes to stop a car varies directly as the square of the speed of the car. If it takes 112 feet for a car traveling at 40 miles per hour to stop, what distance is required for a speed of 65 miles per hour?
308.05 ft
295.75 ft
296.09 ft
253.5 ft
The volume of wood in a tree varies jointly as the height of the tree and the square of the distance around the tree trunk. If the volume of wood is 15.84 cubic feet when the height is 22 feet and the distance around the trunk is 3 feet, what is the volume of wood obtained from a tree that is 32 feet tall having a measurement of 4 feet around the trunk?
44.96 ft3
49.96 ft3
40.96 ft3
32.96 ft3
Determine the type of variation.
Direct
Inverse
None
If f varies jointly as q2 and h, and f = 96 when q = 4 and h = 3, find q when f = 48 and h = 6.
4
2
6
3
If m varies directly as p, and m = 35 when p = 5, find m when p is 6.
42
36
25
49
If x varies inversely as v, and x = 35 when v = 3, find x when v = 15.
7
9
5
21
The frequency of a vibrating string varies inversely as its length. A string 3 feet long vibrates 175 cycles per
second. Find the frequency of a 5 foot string.
105 cycles
291.7 cycles
2625 cycles
332 cycles
The force of the wind blowing on a vertical surface varies jointly as the area of the surface and the square of the
velocity. If a wind blowing at 50 mph exerts a force of 75 pounds on a surface of 500 ft2, how much force will a
wind of 75 mph place on a surface of 10 ft2?
2.25 pounds
3.375 pounds
0.67 pounds
1 pound
The time required to process a shipment of goods at Wal-Mart varies directly with the number of items in the
shipment and inversely with the number of workers assigned. If 15,000 items can be processed by 8 workers in 10 hours, then how long would it take 12 workers to process 20,000 items?
6.5 hours
7.75 hours
8.9 hours
10.2 hours
HyVee found that the demand for Coke products varies inversely as the price of the product. When the price of a Coke product is $2.75, the weekly demand is 1250. Find the weekly demand if the price is raised to $4.00.
859.4
1818.2
1604.4
723.5
Determine the type of variation.
Direct
Inverse
None