Question

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

Answer 1

Option C: $y=\frac{3}{10} x$ is the equation that have a greater rate of change.

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,

$m=\frac{y_2-y_1}{x_2-x_1}$

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,

$m=\frac{30-6}{100-20}$

Simplifying, we get,

$m=\frac{24}{80}$

Dividing, we get,

$m=\frac{3}{10}$

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

The equation of the line becomes $y=\frac{3}{10} x$

Thus, the equation that has a greater rate of change is $y=\frac{3}{10} x$

Hence, Option C is the correct answer.