Final answer:
To find the value of x when y = 25, substitute the values in the inverse proportion equation. The equation connecting x and y is xy = 200. To find the value of y when x = 400, substitute the values in the inverse proportion equation.
Step-by-step explanation:
To find the value of x when y = 25, we can use the inverse proportion equation:
x1*y1 = x2*y2
Substituting the given values:
40*5 = x2*25
x2 = 8
Therefore, when y = 25, x = 8.
To find the equation connecting x and y, we can rearrange the inverse proportion equation:
x*y = k
Substituting the given values:
40*5 = k
k = 200
Therefore, the equation connecting x and y is xy = 200.
To find the value of y when x = 400, we can use the inverse proportion equation:
x1*y1 = x2*y2
Substituting the given values:
40*5 = 400*y2
y2 = 1
Therefore, when x = 400, y =1.
the complete Question is given below:
If x is inversely proportional to y and x = 40 when
y = 5, find
(i) the value of x when y = 25,
(ii) an equation connecting x and y,
(iii) the value of y when x = 400.