Podcast
Questions and Answers
In direct variation, what happens to one variable as the other variable increases?
In direct variation, what happens to one variable as the other variable increases?
- It decreases
- It remains constant
- It becomes negative
- It also increases (correct)
What is the equation representing inverse variation between variables x and y?
What is the equation representing inverse variation between variables x and y?
- y = √x
- y = x^2
- y = k/x (correct)
- y = kx
If y varies inversely with x, and y = 10 when x = 5, what is the value of y when x = 8?
If y varies inversely with x, and y = 10 when x = 5, what is the value of y when x = 8?
- 6
- 2.5 (correct)
- 4
- 16
Flashcards
Direct Variation
Direct Variation
As one variable increases, the other variable also increases.
Inverse Variation Equation
Inverse Variation Equation
y = k/x, where k is the constant of variation. As x increases, y decreases, and vice versa.
If y varies inversely with x, and y = 10 when x = 5, what is the value of y when x = 8?
If y varies inversely with x, and y = 10 when x = 5, what is the value of y when x = 8?
y = 6.25. First, calculate k using the initial values (k = x*y = 5 * 10 = 50). Then, use k to find the new y (y = k/x = 50/8 = 6.25).
