Question

The values in the table represent Function B, which is linear Function L is represented by the equation y=6x+4. What is rate of change for function l ?. what is the rate of change for function ?. which one has the greater rate of change?.

Answer 1

Please, find attached the picture with the table of teh function B corresponding to the question.

Answer:

• The rate of change of function B: 3

• The rate of change of function L: 6

• The rate of change of the function L is greater

Step-by-step explanation:

1. Rate of change of function B

The rate of change can be determined with any two ordered pairs using the formula:

• rate of change = rise / run = Δy / Δx

Let's use the points (1,5) and (3,11):

• rate of change = (11 - 5) / (3 - 1) = 6 / 2 = 3

Hence the rate of change is 3.

2. Rate of change of function L

The rate of change of a linear function, which y = 6x + 4 is, is the slope of the line.

You may recognize the slope, when the function is represented with the slope-intercetp form.

The slope-intercept form has the general equation y = mx + b, where m is the slope and b is the y-intercept.

Hence, by comparison, the slope of the function y = 6x + 4 is m = 6.

In conclusion, the rate of change of the function L is 6.

Therefore, since 6 > 3, the rate of change of the function L is greater than the rate of change of the function B.