Supose y is directly proportional to x Also. y=42 when x=6
find the constant of proportionality?
a)K=?
b)What is y whenx=8
y=?
To find the constant of proportionality (K) when y is directly proportional to x, we can use the formula:
y = K * x
Given that y = 42 when x = 6, we can substitute these values into the formula to solve for K:
42 = K * 6
To find K, we can isolate it by dividing both sides of the equation by 6:
42/6 = K
K = 7
So, the constant of proportionality (K) is 7.
Now, to find y when x = 8, we can use the formula y = K * x with the value of K we just found:
y = 7 * 8
y = 56
Therefore, when x = 8, y equals 56.