Algebra II : Identifying Variable Relationships

Study concepts, example questions & explanations for Algebra II

varsity tutors app store varsity tutors android store

Example Questions

Example Question #1 : Identifying Variable Relationships

 varies directly with the square root of . If , then  . What is the value of  if ?

Possible Answers:

None of these answers are correct.

Correct answer:

Explanation:

If  varies directly with the square root of , then for some constant of variation

If , then ; therefore, the equation becomes 

or

.

Divide by 5 to get , making the equation 

.

If , then .

Example Question #2 : Identifying Variable Relationships

If  varies directly with  and when  due to the effect of a constant, what is the value of  when ?

Possible Answers:

Correct answer:

Explanation:

Since  varies directly with  where  is a constant.

1. Solve for  when  and .

2. Use your equation to solve for  when .

Example Question #3 : Identifying Variable Relationships

If  varies indirectly with  and when  due to the effect of a constant, what is the value of  when ?

Possible Answers:

Correct answer:

Explanation:

Since  varies indirectly with 

 

1. Solve for  when  and .

 

2. Use the equation you found to solve for  when .

 

Example Question #4 : Identifying Variable Relationships

 varies directly with . If , what is  if 

Possible Answers:

Correct answer:

Explanation:

1. Since  varies directly with 

 with K being some constant.

 

2. Solve for K using the x and y values given:

 

3. Use the equation you solved for to find the value of y:

 

Example Question #5 : Identifying Variable Relationships

 varies inversely with . If , then what is  equal to when  ?

Possible Answers:

Correct answer:

Explanation:

1. Since  varies indirectly with :

2. Use the given x and y values to determine the value of K:

 

3. Using the equation along with the value of K, find the value of y when x=5:

Example Question #6 : Identifying Variable Relationships

 varies directly with  and when . What is  when ?

Possible Answers:

Correct answer:

Explanation:

1. Since  varies directly with :

 

2. Use the values given for x and y to solve for K:

 

3. Use your new equation with the K you solved for to solve for y when x=27:

Example Question #7 : Identifying Variable Relationships

 varies inversely with . When . What is the value of  when ?

Possible Answers:

Correct answer:

Explanation:

1. Since y varies indirectly with :

 

2. Solve for K using the x and y values given:

 

3. Using the equation you created by solving for K, find y when x=100:

Learning Tools by Varsity Tutors

Incompatible Browser

Please upgrade or download one of the following browsers to use Instant Tutoring: