Question

Choose the equations which have a greater rate of change than the graph.

y = 1/4x

y = 1/3x

y = 3/10x

y = 2/5x

Answer 1

y = 1/3x & y= 2/5x

Step-by-step explanation:

I know because I just did the usatestprep assignment and I got it correct .

Answer 2

Option C:
`y=(3)/(10) x` is the equation that have a greater rate of change.

Step-by-step explanation:

From the graph the coordinates are (0,0), (20,6), (40,12), (60,18) and (100,30)

We need to determine the rate of change.

The rate of change can be determined using the formula,

`m=(y_2-y_1)/(x_2-x_1)`

Substituting the any two coordinates in the formula, we get, the slope of the equation.

Let us substitute the coordinates (20,6) and (100,30)

Thus, we have,

`m=(30-6)/(100-20)`

Simplifying, we get,

`m=(24)/(80)`

Dividing, we get,

`m=(3)/(10)`

Also, the y - intercept of the equation is
`b=0`

The equation of the line becomes
`y=(3)/(10) x`

Thus, the equation that has a greater rate of change is
`y=(3)/(10) x`

Hence, Option C is the correct answer.