Math Problem Statement
The value of y is directly proportional to the value of x. When x = 512, y = 128. What is the value of y when x = 64?
Group of answer choices
32
8
16
256
Solution
Since is directly proportional to , we can express this relationship as:
where is the constant of proportionality. First, we need to find using the given values and .
Solving for :
Now, using this constant , we can find when :
So, the value of when is 16.
The correct answer is:
16
Would you like more details or have any questions? Here are five related questions:
- What happens to if is halved in a direct proportional relationship?
- How would the equation change if was inversely proportional to ?
- What is the constant of proportionality in the context of this problem?
- How can you verify the proportionality relationship with different values?
- How does the graph of a direct proportional relationship look?
Tip: When dealing with direct proportionality, remember that as one variable increases, the other increases at a constant rate defined by the proportionality constant.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Direct Proportionality
Algebra
Formulas
y = kx (direct proportionality formula)
k = y / x
Theorems
Direct Proportionality
Suitable Grade Level
Grades 6-8