Question

Total Paid (Y) Hours worked(x)
2,25 3,50 4,75 5,100 125,6
What is the slope of the data?

(1 po

Answer 1

To find the slope of the relationship between hours worked (x) and total paid (Y), we can use the formula for slope, which is given by:

\[
\text{slope} = \frac{\Delta Y}{\Delta X} = \frac{Y_2 - Y_1}{X_2 - X_1}
\]

First, let's pair the values as follows:

- For 3.5 hours, total paid is 2.25
- For 4.75 hours, total paid is unknown (let's denote it as \( Y_2 \))
- For 5.1 hours, total paid is 100 (or it might be a typo and should be 10.25 or something else contextually; we will consider as given)
- For 6 hours, total paid is 125 (or again, this might be a typo)

From the data you provided, it's unclear how many values you have and how they are paired.

To calculate the slope between the first two points (3.5 hours and 5.1 hours):

Let’s take the first and the last provided values for simplicity:

1. \(X_1 = 3.5\), \(Y_1 = 2.25\)
2. \(X_2 = 5\) (assuming it for calculation), \(Y_2 = 100\)

Plug them into the slope formula:

\[
\text{slope} = \frac{100 - 2.25}{5 - 3.5} = \frac{97.75}{1.5} \approx 65.17
\]

Is this the slope you are referring to, or should we consider other pairs of values? Please clarify or provide exact pairs if needed.

Answer 2

use 5,100 and 2,25 or 3,50