Question

Which function has a greater constant rate of change explain. Function A y=10x-3 or function B x 1 2 3 4 5 and y are 20 15 10 5 0

Answer 1

Function A, represented by y=10x-3, has a slope of 10, which means it has a rate of change of 10. Function B shows that for every increase by 1 in x, y decreases by 5, thus the slope is -5. Therefore, Function A has a greater constant rate of change compared to Function B.

Step-by-step explanation:

The question is asking which function out of Function A (y=10x-3) and Function B (represented by the data pairs) has a greater constant rate of change. To determine the rate of change, we can compare the coefficients in front of the x in both functions since these coefficients represent the slope, or rate of change, in a linear equation.

Function A has the form y=mx+b, where m refers to the slope. Given that Function A is y=10x-3, the rate of change is 10. On the other hand, we can see from Function B's data pairs that for every increment of 1 in x, the value of y decreases by 5. Therefore, the slope or rate of change for Function B is -5.

Comparing the absolute values || of the slopes (because the rate of change can be positive or negative), we see that |10| from Function A is greater than |-5| from Function B. This means that Function A has a greater constant rate of change than Function B because the steepness of its slope is greater.

Answer 2

The function B has greater constant

Step-by-step explanation:

`m(b) = (20 - 15)/(1 - 2) = - 5 \\ y = - 5x + c \\ when \: y = 20 \: \: \: \: \: and \: x = 1 \\ 20 = - 5 * 1 = c \\ c = 25`