Round any decimals to the hundredths place (that's two decimal places)
Round any decimals to the hundredths place (that's two decimal places)
Question 1
1.
The number of vibrations per second of a guitar string varies inversely with its length. A guitar string that is 0.75 meters long vibrates 3.7 times per second.
What is the constant of variation?
Question 2
2.
Use the information from question #1.
If a guitar string is 1.25 meters long, how many times does it vibrate per second?
Question 3
3.
The force needed to break a board varies inversely with the length of the board. It takes 1.25 pounds of pressure to break a board that is 8 feed long.
What is the constant of variation?
Question 4
4.
Use the information from question #3
If the board is 5ft long, how many pounds of pressure are needed to break it?
Question 5
5.
The pressure exerted by the sole of the foot of a person walking varies inversely with the area of the sole of the shoe. Each of Darlene's boots has a sole with an area of 23.2 square inches and the pressure exerted by the sole is 5 pounds per square inch.
What is the constant of variation?
Question 6
6.
Use the information from question #5
If Darlene buys a pair of shoes with a sole of area 27.5 square inches, how much pressure will be exerted per square inch?
Question 7
7.
At depths greater than 900 meters, the water temperature in degrees Celsius of the Pacific Ocean varies inversely with the depth. At a depth of 3000 meters, the temperature is 1.48 degrees Celsius.
What is the constant of variation?
Question 8
8.
Use the information from question #7
What depth does the water have a temperature of 2 degrees Celsius?