Answer:
when two things are said to be in inverse proportion , the two things are connected to each other in a particular way that if one thing increases its quantity the other will decrease .
For example : More the number of workers the less time needed to finish the work.
hope this helps you .
Answer:
A direct and inverse proportion is used to show how the quantities and amount are related to each other. For example, if we say, a is proportional to b, then it is represented as 'a∝b' and if we say, a is inversely proportional to b, then it is denoted as 'a∝1/b'.
What is the direct proportion?
Direct proportion is the relationship between two variables whose ratio is equal to a constant value.
Example
The term direct proportion means that two (or more) quantities increase or decrease in the same ratio. For example, in the purple paint mixture, the ratio of blue to red of 4:3. This does not necessarily mean we every mixture would have 4 red and 3 blue cans.
Formula
In mathematical statements, it can be expressed as y = kx. This reads as “y varies directly as x” or “y is directly proportional as x” where k is constant in the equation.
What is the indirect proportion?
Inverse proportion occurs when one value increases and the other decreases.
Example
More workers on a job would reduce the time to complete the task. They are inversely proportional.
Formula
The equation for inverse proportion is x y = k or x = k/ y. Therefore, for finding the value of the constant k, you can use the known values and then use this formula to calculate all the unknown values.
Which relation is a function?
Answer:
The one on the bottom right corner
Step-by-step explanation:
The vertical line test would be used to find out if it's a function or not. In 3 out of the four graphs, it crosses the vertical line twice, unlike the bottom right option.
Answer: Choice D in the bottom right corner
Reason
If it is ever possible to pass a single vertical line through more than one point on the curve, then that curve fails the vertical line test. Furthermore, it would mean that curve isn't a function.
This happens with choices A, B, and C. In other words, the top row and the graph in the bottom left corner. Any vertical line will fail the vertical line test.
Choice D, in the bottom right corner, passes the vertical line test. It is impossible to draw a vertical line through more than one point on the curve. Any x input in the domain leads to exactly one output in the range. Therefore, choice D is a function.