To determine how much money Keylie will make based on the hours worked and the additional image research fee, we need to calculate her total charges for the various hours worked.
Keylie’s total fee can be calculated using the formula:
\[ \text{Total Fee} = \text{Consulting Fee} + (\text{Hourly Rate} \times \text{Hours Worked}) + \text{Image Research Fee} \]
In this case:
- Consulting Fee = $20
- Hourly Rate = $45
- Image Research Fee = $15
Calculating the total for each number of hours worked (4, 6, 8, 10, and 12):
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For 4 hours: \[ \text{Total} = 20 + (45 \times 4) + 15 = 20 + 180 + 15 = 215 \]
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For 6 hours: \[ \text{Total} = 20 + (45 \times 6) + 15 = 20 + 270 + 15 = 305 \]
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For 8 hours: \[ \text{Total} = 20 + (45 \times 8) + 15 = 20 + 360 + 15 = 395 \]
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For 10 hours: \[ \text{Total} = 20 + (45 \times 10) + 15 = 20 + 450 + 15 = 485 \]
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For 12 hours: \[ \text{Total} = 20 + (45 \times 12) + 15 = 20 + 540 + 15 = 575 \]
Now we summarize the results in a table:
- 4 hours: $215
- 6 hours: $305
- 8 hours: $395
- 10 hours: $485
- 12 hours: $575
To verify which graph accurately represents these points, we look for the following points that should be plotted:
- (4, 215)
- (6, 305)
- (8, 395)
- (10, 485)
- (12, 575)
The correct graph will have the x-axis (hours worked) ranging from 0 to 15 and the y-axis (Total Fee) accommodating values at least up to 600, with reasonable increments to reflect the calculated values.
Without access to the visual graphs, you would choose the graph from available options that match the ranges and plotted points as calculated above. The graph should show a line steadily increasing based on the calculated total fees for the stated hours.
Choose the graph that meets these criteria.
1 answer