1.2 Assignment (Module 4 Topic 1)

Last updated over 1 year ago
8 questions
Note from the author:
Round any decimals to the hundredths place (that's two decimal places)
Round any decimals to the hundredths place (that's two decimal places)
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?

1

Use the information from question #1.

If a guitar string is 1.25 meters long, how many times does it vibrate per second?

1

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?

1

Use the information from question #3

If the board is 5ft long, how many pounds of pressure are needed to break it?

1

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?

1

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?

1

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?

1

Use the information from question #7

What depth does the water have a temperature of 2 degrees Celsius?