Question

The table represents a function.

Answer 1

Answer: A) Greater than

The equation y = 2x+5 has a greater rate of change compared to the table.

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Pick any two points from the table. I'm going to pick the first two rows so I picked (-1,0) and (2,3) as the two points. From here, the idea is to use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-0)/(2 - (-1))

m = (3 - 0)/(2 + 1)

m = 3/3

m = 1

The slope of the line going through all of the points shown in the table is m = 1. So the rate of change for the table is also 1.

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The slope of y = 2x+5 is m = 2. The equation y = 2x+5 is in the form y = mx+b. So the rate of change for y = 2x+5 is 2.

Comparing the table's rate of change to the equation's rate of change, we see that the equation's rate of change is larger.

Answer 2

Answer:

Nawll Boop the correct answer is less than

Step-by-step explanation:

The table represents a function.

x  y

0  −5

2  1

3  4

5  10

Complete the statement by selecting from the drop-down menu.

The rate of change in the function ​ y=x−6

​ is 1greater than the rate of change of the function represented in the table.

Correct answers:

   1

   less than