Two functions, function a and function b, are shown below: function a: x y 7 21 8 24 9 27 function b: (graph attachment below) which statement best compares the rate of change of the two functions? a. the rate of change for both functions are 2 b. the rate of change for both functions are 3 c. the rate of change of function a is greater than the rate of change of function b d. the rate of change of function b is greater than the rate of change of function a

Answer is C.

Step-by-step explanation:

Rate of change of function A  is (24- 21)/ 1  = (17-24)/1 = 3.

Rate of change of function B = slope of the line = rise/run = 4/2

= 2

C. The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

Given are two functions A and B.

A is given in table form and B in graph.

From the table for A we find that y =3x i.e. rate of change of y with respect to x =3

Table B graph shows the points as (2,4) (3,6) and (4,8) thus we find y =2x

Rate of change =2

C. The rate of change of function A is greater than the rate of change of function B

is correct.

The correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0)

Step-by-step explanation:

From the graph of the function, the y-intercept is observed at (0, 100), the x-intercept occurs at (8, 0)

Therefore, we have the slope, m given by the following relation

Where:

y₁ = 100

x₁ = 0

y₂ = 0

x₂ = 8

Which gives;

The equation in slope can be found as follows

y - 100 = -12.5×(x - 0)

y = -12.5·x  + 100 = -25/2·x  + 100

Multiplying by 2 gives;

2·y = -25·x + 200

25·x + 2·y =  200

Therefore, the correct options are;

The equation of the function is 2·y = -25·x + 200

The equation of the function is y = -25/2·x  + 100

The x-intercept of the function is (8, 0).