Question

The table below shows the relationship between the number of hours worked (x) and the amount of money earned (y).



How do you find the rate of change (or slope) from the table?





(1 point)
Responses

Using two points from the table, find the sum of the y's and divide by the sum of the x's. Or use the formula:

y2+y1x2+x1

Using two points from the table, find the sum of the y's and divide by the sum of the x's. Or use the formula: the fraction with numerator y sub 2 plus y sub 1 and denominator x sub 2 plus x sub 1

Using two points from the table, find the difference of the y's and divide by the difference of the x's. Or use the formula:
y2−y1x2−x1
Using two points from the table, find the difference of the y's and divide by the difference of the x's. Or use the formula: the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1

Using two points from the table, find the difference of the x's and divide by the difference of the y's. Or use the formula:

x2−x1y2−y1

Answer 1

To find the rate of change (or slope) from the table, you should use two specific points (x₁, y₁) and (x₂, y₂) from the table and apply the following formula:

\[
\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}
\]

So the correct response is:

**Using two points from the table, find the difference of the y's and divide by the difference of the x's. Or use the formula: the fraction with numerator y sub 2 minus y sub 1 and denominator x sub 2 minus x sub 1.**