X is partly constant and partly varies with y.when y=6,x=9.a.find the relationship between x and y.b.find x when y=4

Answer 1

a. To find the relationship between x and y, we first need to determine the part of x that is constant and the part that varies with y.

Given that when y=6, x=9, we can see that there is a constant part of x that is equal to 9 when y=6. Let's denote this constant part as C.

So x = C + k*y, where C = 9 and k is the coefficient of variation.

Plugging in the values when y=6, x=9:

9 = C + 6k
9 = 9 + 6k
k = 0

Therefore, the relationship between x and y is x = 9.

b. To find x when y=4, we can simply substitute y=4 into the relationship we found in part a:

x = 9

So when y=4, x=9.