Question

Look at the graph

What is the relationship between x and y ?
y and x stay constant
y increases as x increases
y decreases as x increases
y stays constant as x increases

Answer 1

y increases as x increases

Answer 2

B.y increases as x increases.

Explanation:

We are given that a graph.

We have to find the relationship between x and y.

From given graph, we can see that

The line is passing through the origin.

It means when x=0 then y=0

Direct proportional: It states that

`x\propto y`

It means when x increases then y also increases.

When x decreases then y also decreases.

Inversely proportional:It states that

`y\propto(1)/(x)`

When x increase then, the value of y will decreases.

When x decreases then, the values of y will increase.

We can see that from given graph, when x increases then, the values of y is also increases.

When x decreases then, the value of y also decreases.

Therefore, x is directly proportional to y.

Hence, option B is true.