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.

rx and sx

step-by-step explanation:

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.