Question

PLEASE HELP! The table represents a function.


x y

−1 0

2 3

3 4

5 6

The rate of change in the function y=2x+5 is _____ the rate of change of the function represented in the table. fill in the line with: A. greater then B. less then C. equal to

Answer 1

Answer:

The correct option is A. The rate of change in the function y=2x+5 is greater than the rate of change of the function represented in the table.

Step-by-step explanation:

The slope intercept form of a line is

$y=mx+b$

Where, m is slope and b is y-intercept.

The given equation is

$y=2x+5$

Therefore the slope of the equation is 2.

The formula to find the slope

$m=\frac{y_2-y_1}{x_2-x_1}$

The two points from the table are (-1,0) and (2,3).

Slope of the function that is represented in the table is

$m=\frac{3-0}{2-(-1)} =\frac{3}{3}=1$

Therefore, the slope of the function that is represented in the table is 1.

Since 2>1, therefore the rate of change in the function y=2x+5 is greater than the rate of change of the function represented in the table. Option A is correct.

Answer 2

Answer: (picture)

Hope this helps-if so

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