To find the total charge for Keylie's services based on the number of hours worked and the additional image research fee, we can calculate the total cost using her pricing structure.
- Consulting Fee: $20
- Hourly Rate: $45 per hour
- Image Research Fee: $15 (which she charges regardless of the number of hours worked)
Now, we can calculate the total charges for each given number of hours:
-
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 have the total charges for each number of hours:
- 4 hours: $215
- 6 hours: $305
- 8 hours: $395
- 10 hours: $485
- 12 hours: $575
Next, let's plot these points (inputs on x-axis as hours and outputs on y-axis as total charges):
- (4, 215)
- (6, 305)
- (8, 395)
- (10, 485)
- (12, 575)
From the options provided, the graph that accurately represents these points should have the x-axis ranging from 0 to 15 (for hours worked) and the y-axis ranging from 0 to 600 (for total charges).
The corresponding data trends imply a consistent upward progression, so we need to find the option that represents this.
Summary: The correct graph will display points (4, 215), (6, 305), (8, 395), (10, 485), and (12, 575) on the coordinate plane, fitting the specified criteria.
You should select the first option you provided that matches this description accurately, especially ensuring the scale of the y-axis accommodates values up to 600, which is required for the highest calculation (575).