Two linear functions are shown below. Which function has the greater rate of change? Function A: 4 8 12. y 1 2 3 4 Function B: y= 0.75x - 2

The function which has a greater rate of change or slope is required.

Function B has a greater rate of change.

Rate of change is given by

The ordered pairs for the first function are

Slope

Since, it is a linear equation the slope will be equal for all ordered pairs.

The point slope form of a line is

where

m = Slope or rate of change

c = y intercept

Here, the equation is

The slope is 0.75.

Function B has a greater rate of change.

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Function B

Step-by-step explanation:

✍️Rate of change for Function A:

Using any two pairs from the table of values given, say, (0, 1) and (4, 2):

Rate of change =

Rate of change for function A = ¼ = 0.25

✍️Rate of change for Function B:

Equation for Function B is given in the slope-intercept format, y = mx + b.

m = slope = rate of change.

Therefore, the function, y = 0.75x - 2 has a rate of change of 0.75.

Rate of change of Function B = 0.75.

✅0.75 if greater than 0.25, therefore, Function B has the greater rate of change.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6