David created two functions. Function A can be represented by the equation y= 3/4x + 2 Function B can be represented by the graph below.

Which of the following statements correctly compares the two functions.

Function A has the greater rate of change and the greater y-intercept.

Function B has the greater rate of change and the greater y-intercept.

Function A has the greater rate of change and Function B has the greater y-intercept.

Function B has the greater rate of change, and Function A has the greater y-intercept.

Function B has the greater rate of change, and Function A has the greater y-intercept

Step-by-step explanation:

Equation representing Function A: y= 3/4x + 2

Where,

slope/rate of change (m) = ¾

y-intercept (b) = 2

Using the graph given for Function B, let's find an equation for Function B by determining the slope of the line/rate of change (m) and y-intercept (b).

Using points (1, 0) and (2, 2), which are two points on the line, find slope (m), which is also represents the rate of change.

Rate of change for function B (m) = 2

y-intercept (b) is the point at which the y-axis is intercepted by the line of the graph = -2

Substitute, m = 2, and b = -2 into y = mx + b.

The equation for Function B would be:

y = 2x +(-2)

y = 2x - 2.

slope/rate of change (m) = 2

y-intercept (b) = -2

Comparing the Function A and Function B,

Function A rate of change is ¾, while that of B is 2. Therefore, Function B has the greater rate of change.

Function A has y-intercept of 2, while Function B has a y-intercept of -2. Therefore, Function A has the greater y-intercept.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional