What does it mean for x and y to vary inversely?

when x increases from 1 to 10, does 1 over x increase or decrease?

describe a real life situation that shows inverse variation

1. The statement "y varies inversely as x means that when x increases, y decreases by the same factor. In other words, the expression xy is constant: xy = k.

2. increase

3. One type of variation is inverse variation, and two variables are said to vary inversely if when one increases the other decreases and vice versa. The formula we use to indicate that a variable, y, varies inversely with a variable, x, is y=kx y = k x , where k is a constant called the constant of variation.

answer:

given the linear inequality :

add 2y to both sides we get;

simplify:

add 12 to both sides of an equation;

simplify:

divide both sides by 2 we get;

or

the related equation for the inequality equation [1] is;

y-intercepts defined as the graph crosses the y-axis.

substitute x =0 in [2] to solve for y;

y = 6

x-intercepts defined as the graph crosses the x-axis.

substitute value y = 0 to solve for x;

subtract 6 from both sides we get

multiply both sides by 2 we get;

or

x = -12

now, plot these point (0, 6) and (-12, 0) on graph as shown below and shade the graph below the solid line.

answer: 8 years

step-by-step explanation:

the explanation is that in 8 years the child will be 20 and in 8 years the father will be 40 and 20 is half of 40.