Question
Vince works for his uncle at a lumber yard. Vince’s pay is represented by this line graph.
The graph has time worked in hours on the horizontal line from 0 to 40 in increments of 10 and pay in dollars on the y-axis from 0 to 360 in increments of 20. A line start from (0, 0) and passes through (20, 180) and (40, 360).
How much is Vince paid for one hour of work?
A.
$3.60
B.
$9.00
C.
$9.50
D.
$12.00
The graph has time worked in hours on the horizontal line from 0 to 40 in increments of 10 and pay in dollars on the y-axis from 0 to 360 in increments of 20. A line start from (0, 0) and passes through (20, 180) and (40, 360).
How much is Vince paid for one hour of work?
A.
$3.60
B.
$9.00
C.
$9.50
D.
$12.00
Answers
GPT-4o mini
To determine how much Vince is paid for one hour of work, we can analyze the line on the graph.
From the graph, we can see:
- At 20 hours, Vince earns $180.
- At 40 hours, Vince earns $360.
To find the rate of pay per hour, we can calculate the pay per hour based on the information given.
1. **Calculate the pay rate** using the hours worked and the total pay.
- At 20 hours:
\[
\text{Pay per hour} = \frac{\text{Total Pay}}{\text{Total Hours}} = \frac{180}{20} = 9.00
\]
2. **Confirm with the total at 40 hours**:
- At 40 hours:
\[
\text{Pay per hour} = \frac{360}{40} = 9.00
\]
Both calculations show that Vince's pay for one hour of work is $9.00.
Thus, the correct answer is:
**B. $9.00**
From the graph, we can see:
- At 20 hours, Vince earns $180.
- At 40 hours, Vince earns $360.
To find the rate of pay per hour, we can calculate the pay per hour based on the information given.
1. **Calculate the pay rate** using the hours worked and the total pay.
- At 20 hours:
\[
\text{Pay per hour} = \frac{\text{Total Pay}}{\text{Total Hours}} = \frac{180}{20} = 9.00
\]
2. **Confirm with the total at 40 hours**:
- At 40 hours:
\[
\text{Pay per hour} = \frac{360}{40} = 9.00
\]
Both calculations show that Vince's pay for one hour of work is $9.00.
Thus, the correct answer is:
**B. $9.00**