Question

Which description best describes the graph?

A graph is shown. A straight line begins at the upper left side of the coordinate plane and moves down towards the right side. The line crosses the y-axis at y equals 3 and the x-axis at x equals 1.5

Linear increasing
Linear decreasing
Nonlinear increasing
Nonlinear decreasing

Answer 1

This is a linear decreasing graph.

As the x-values increase, the y-values decrease; this means it is a decreasing graph.

The graph shows a straight line with a constant rate of change, so it is linear.

Answer 2

B. Linear decreasing

Explanation:

We are given that,

The graph of the function is passing through the points (0,3) and (1.5,0).

Then, the rate of change is
`m=(0-3)/(1.5-0)=(-3)/(1.5)=-2`

So, the function is represented by a straight line with constant rate of change -2.

Thus, the function is a linear function.

Moreover, as the value of x is increasing, we see that the value of y is decreasing.

So, the function is a decreasing function.

Hence, option B is correct.