Question

The volume of gas in a container at a constant temperature varies inversely with the pressure. If the volume is 32 cubic centimeters at a pressure of 8
pounds, find the pressure when the volume is 60 cubic centimeters,

Answer 1

Answer:

p=32/15 pounds

Step-by-step explanation:

Step 1: Write the correct equation. Inverse variation problems are solved using the equation y=k/x. In this case, you should use v and p instead of x and y. y=k/x---> v=k/p  

Step 2: Use the information given in the problem to find the value of k. In this case, you need to find k when v = 32 and p = 4. 32=k/4 128=k

Step 3: Rewrite the equation from step 1 substituting in the value of k found in step 2. v=128/p  

Step 4: Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find p when v = 60.  

60=128/p    60p=128           p=32/15 pounds