Choose the correct answer. If y varies inversely as x so that y = 3/5 when x = 2/3, what will x be when y =...

Question

13. Choose the correct answer.
If y varies inversely as x so that y = 3/5 when x = 2/3, what will x be when y = 1/4?
1/2
3/20
8/5
5/8
14. Choose the correct answer.
What force is required to compress a spring with spring constant k = 900 N/m 0.25 meters?
-2,250 N
-3,600 N

SnapAndSolve AI · Accepted Answer

To solve for x when y = 1/4, we use the inverse variation formula y = k/x, where k is a constant. First, find k using y = 3/5 and x = 2/3:

k = y * x = (3/5) * (2/3) = 2/5.

Now, solve for x when y = 1/4:

1/4 = (2/5) / x

x = (2/5) / (1/4) = 8/5.

Answer: 8/5
Use Hooke's Law to find the force: F = k * x, where k = 900 N/m and x = 0.25 m.

F = 900 * 0.25 = 225 N.

Since the question asks for compression, the force is negative:

Answer: -2,250 N

contact us

Contact Info

Choose the correct answer. If y varies inversely as x so that y = 3/5 when x = 2/3, what will x be when y =...

Answer

Have a similar question?

More math questions