To determine Keylie's total earnings based on the hours worked, including the consulting fee and additional fees for image research, we can derive a formula based on the provided rates:
- Consulting Fee: $20
- Hourly Rate: $45 per hour
- Image Research Fee: $15 (this is a one-time charge regardless of hours worked)
The total earnings (T) for a certain number of hours (h) worked can be calculated using the formula:
\[ T = \text{Consulting Fee} + (\text{Hourly Rate} \times h) + \text{Image Research Fee} \]
Substituting the values:
\[ T = 20 + (45 \times h) + 15 \]
This simplifies to:
\[ T = 35 + (45 \times h) \]
Now, we can calculate the total earnings for the specified hours (4, 6, 8, 10, and 12):
-
For 4 hours: \[ T = 35 + (45 \times 4) = 35 + 180 = 215 \]
-
For 6 hours: \[ T = 35 + (45 \times 6) = 35 + 270 = 305 \]
-
For 8 hours: \[ T = 35 + (45 \times 8) = 35 + 360 = 395 \]
-
For 10 hours: \[ T = 35 + (45 \times 10) = 35 + 450 = 485 \]
-
For 12 hours: \[ T = 35 + (45 \times 12) = 35 + 540 = 575 \]
Now we have the following total earnings based on the hours worked:
- 4 hours: $215
- 6 hours: $305
- 8 hours: $395
- 10 hours: $485
- 12 hours: $575
These values can now be plotted on a graph with "Hours Worked" on the x-axis (4, 6, 8, 10, 12) and "Total Earnings" on the y-axis (215, 305, 395, 485, 575).
The resulting graph should be a straight line with a positive slope indicating that as the hours worked increases, Keylie's total earnings increase as well, starting from the point where she adds the consulting and image research fees.
Make sure to choose the graph that accurately corresponds to these points.
1 answer