To determine how much money Keylie will make for various hours worked and the additional image research fee, we can calculate the total cost for the different hours:
- Base formula: Total cost = Consulting fee + (Hourly rate * Hours worked) + Image research fee
- Details:
- Consulting fee = $20
- Hourly rate = $45 per hour
- Image research fee = $15
Now let's calculate the total cost for 4, 6, 8, 10, and 12 hours:
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4 hours: \[ Total = 20 + (45 \times 4) + 15 = 20 + 180 + 15 = 215 \]
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6 hours: \[ Total = 20 + (45 \times 6) + 15 = 20 + 270 + 15 = 305 \]
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8 hours: \[ Total = 20 + (45 \times 8) + 15 = 20 + 360 + 15 = 395 \]
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10 hours: \[ Total = 20 + (45 \times 10) + 15 = 20 + 450 + 15 = 485 \]
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12 hours: \[ Total = 20 + (45 \times 12) + 15 = 20 + 540 + 15 = 575 \]
Now we have the following points for hours worked and total earnings:
- (4 hours, $215)
- (6 hours, $305)
- (8 hours, $395)
- (10 hours, $485)
- (12 hours, $575)
To visualize, we can compare this with the graph scales described:
- Since the y-axis needs to cover up to at least $575 and the x-axis represents the hours (from 0 to 15), we find that the second and third images, which show the y-axis ranging from 0 to 600 in increments of 100, provide the correct scale for our data.
Therefore, the correct graph representation for Keylie's earnings would be the one with the y-axis ranging from 0 to 600 in increments of 100 (either the second or the third image, as they match the data we computed).
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