Question

Function A is represented by the equation y = 4x + 6.

Function B is a linear function that goes through the points shown in the
table.
x 134 6
y 3 9 12 18
Which statement correctly compares the rates of change of the two
functions?
OA. The rate of change of function A is 6.
The rate of change of function B is 6.
OB. The rate of change of function A is 4.
The rate of change of function B is 6.
OC. The rate of change of function A is 4.
The rate of change of function B is 3.
OD. The rate of change of function A is 6.
The rate of change of function B is 3.

Answer 1

The rate of change of function A is 4. The rate of change of function B is 3.

Step-by-step explanation:

The rate of change of a linear function is determined by the coefficient of the x-term in its equation. In function A, which is represented by y = 4x + 6, the coefficient of x is 4, so the rate of change is 4. In function B, we can calculate the rate of change by finding the difference in y-values divided by the difference in x-values between two points. Let's choose the points (3, 9) and (6, 18). The difference in y-values is 18 - 9 = 9, and the difference in x-values is 6 - 3 = 3. So the rate of change of function B is 9/3 = 3.

Therefore, the correct statement comparing the rates of change of the two functions is:

The rate of change of function A is 4.

The rate of change of function B is 3.