Question
Use the table to answer the question. The table shows the number of billable hours a lawyer worked in a week and the amount of money they earned, in dollars. Pay (x) , in $ 900 1,260 1,430 1,950 Hours (y) 30 38 43 50 The table represents the number of billable hours a lawyer worked in a week and the amount of money they earned, in dollars. Which of the following correctly interprets the average rate of change in pay between 38–43 billable hours? (1 point) Responses The lawyer’s pay increases by an average of $34 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay increases by an average of $34 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay increases by an average of $170 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay increases by an average of $170 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay decreases by an average of $34 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay decreases by an average of $34 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay decreases by an average of $170 per additional billable hour between the 38th and 43rd hour. The lawyer’s pay decreases by an average of $170 per additional billable hour between the 38th and 43rd hour.
Answers
GPT-4o mini
To find the average rate of change in pay between 38 and 43 billable hours, we can first identify the pay corresponding to those hours from the table.
From the table:
- For 38 billable hours, the pay is $1,260.
- For 43 billable hours, the pay is $1,430.
Next, we can calculate the change in pay and the change in hours:
1. Change in pay:
\[
1430 - 1260 = 170
\]
2. Change in hours:
\[
43 - 38 = 5
\]
Now, we can find the average rate of change in pay per additional hour worked between the 38th and 43rd hour:
\[
\text{Average rate of change} = \frac{\text{Change in pay}}{\text{Change in hours}} = \frac{170}{5} = 34
\]
This means the lawyer's pay increases by an average of $34 per additional billable hour between the 38th and 43rd hour.
Therefore, the correct interpretation is:
**The lawyer’s pay increases by an average of $34 per additional billable hour between the 38th and 43rd hour.**
From the table:
- For 38 billable hours, the pay is $1,260.
- For 43 billable hours, the pay is $1,430.
Next, we can calculate the change in pay and the change in hours:
1. Change in pay:
\[
1430 - 1260 = 170
\]
2. Change in hours:
\[
43 - 38 = 5
\]
Now, we can find the average rate of change in pay per additional hour worked between the 38th and 43rd hour:
\[
\text{Average rate of change} = \frac{\text{Change in pay}}{\text{Change in hours}} = \frac{170}{5} = 34
\]
This means the lawyer's pay increases by an average of $34 per additional billable hour between the 38th and 43rd hour.
Therefore, the correct interpretation is:
**The lawyer’s pay increases by an average of $34 per additional billable hour between the 38th and 43rd hour.**