Direct Proportion (2.10.2)

Question 1

• Hooke’s Law says that the distance a spring stretches varies directly to the force applied.

Answer 1

• Hooke’s Law says that the distance a spring stretches varies directly to the force applied.

Question 2

• If two quantities are directly proportional, it means that if one changes by a certain percentage, the other changes in the same way and by the same percentage.

Answer 2

• If two quantities are directly proportional, it means that if one changes by a certain percentage, the other changes in the same way and by the same percentage.

Question 3

• Two quantities usually are directly proportional without being the same size.

Answer 3

• Two quantities usually are directly proportional without being the same size.

Question 4

• The constant of change is usually referred to as “k”.

Answer 4

• The constant of change is usually referred to as “k”.

Question 5

• The variable x is directly proportional to y if x = ky.

Answer 5

• The variable x is directly proportional to y if x = ky.

Question 6

Reading this problem tells that the distance of stretch will
vary directly with the amount of weight attached to the spring.
This problem will use the x = ky proportion.
First calculate what the constant of stretch, k, will be. Set up
the equation substituting in the values given.
Let x be d for distance stretched and y be f for force applied.
Then, solve for k.
To answer the question in the problem, substitute k in the
original equation and use the force given to calculate its
appropriate distance.
In this example, the force is 30 pounds.
Substitute 30 for f.
Calculate the stretched distance.

Answer 6

Reading this problem tells that the distance of stretch will
vary directly with the amount of weight attached to the spring.
This problem will use the x = ky proportion.
First calculate what the constant of stretch, k, will be. Set up
the equation substituting in the values given.
Let x be d for distance stretched and y be f for force applied.
Then, solve for k.
To answer the question in the problem, substitute k in the
original equation and use the force given to calculate its
appropriate distance.
In this example, the force is 30 pounds.
Substitute 30 for f.
Calculate the stretched distance.