Suppose y varies directly as x, and y=14 when x=4. What is the value of y when x=9
Unit 6 Lesson 2:
1. 21
2. 3/4
3. 1/4
4. 200
5. n = 9.48t or A
y = kx, so y/x is constant. You want y such that
y/9 = 14/4
3.5
To find the value of y when x=9, we first need to determine the constant of variation (k) in the direct variation equation.
In a direct variation, the equation is typically written as y = kx, where k is the constant of variation. We can use the given information that y=14 when x=4 to solve for k.
Substitute the given values into the equation: 14 = k * 4.
To isolate k, divide both sides of the equation by 4: k = 14 / 4.
Simplify: k = 3.5.
Now that we have the value of k, we can find the value of y when x=9 by substituting x=9 into the direct variation equation.
y = k * x, so y = 3.5 * 9.
Multiply: y = 31.5.
Therefore, when x = 9, y = 31.5.