Question

Choose the equations which have a greater rate of change than the graph. y = 1 4 x y = 1 3 x y = 3 10 x y = 2 5 x

Answer 1

The sequence is
`y = 310x > y = 25x > y = 14x > y = 13x`

Explanation:

Generally, the equation of a line is represented by,
`y = mx +c`

Here m indicates the slope of any equation.

Any equation's slope determines the rate of change of the graph.

The rate of change will be higher with the increasing value of the slope of the equation.

It can also be said that, which equation has a greater slope, has a greater rate of change.

Arranging the given equations increasingly per the rate of change, we get

`y = 310x > y = 25x > y = 14x > y = 13x`