Which function has a greater rate of change?

Given:

Graph of function 1.

The equation of function 2 is .

To find:

The function which has a greater rate of change.

Step-by-step explanation:

From the given graph it is clear that, the function 1 passes through two points (0,0) and (1,2). So, slope of function is

So, rate of change of function 1 is 2.

On comparing the equation with , where m is slope and b is y-intercept, we get

So, rate of change of function 2 is .

Since, , therefore, function 1 has a greater rate of change.

Solution :

Function 1 passes through (0,0) and (1,2) .

So, equation of function 1 is :

y = 2x

Function 2 is : y = 0.5x + 7

We know coefficient of x in linear equation is the slope.

Also, rate of change is directly proportional to slope.

Therefore, function 1 has a greater rate of change.

the answer is c

hope this !