Let a and b the two numbers. So y = a – b. one number varies directly as x , a= k1x. while the other number varies inversely as x, b = k2/x. so the equation y = k1x – k2/x
At y = -7, x =2 then -7 = -2k1 + k2/2
At y = 5, x =1 then 5 = k1 – k2
Solving k1 and k2, 3 and -2 respectively
So y = 3x+2/x
Answer:
y = 3x + 2/x
Explanation:
In this case, y is the difference between two numbers, say, a and b. So y = a – b. One number varies directly as x while the other varies inversely as x. as x, a= k1x. The equation we'll be using is y = k1x – k2/x.
If y = -7, x = 2, then -7 = -2k1 + k2/2
If y = 5, x = 1, then 5 = k1 – k2
We express y in terms of x with the following equation: y = 3x + 2/x
