To calculate how much money Keylie will make for different hours worked while also charging for image research, we can use the following formula:
Total cost \( = Consulting fee + (Hourly rate \times Hours worked) + Image research fee \)
Keylie has:
- A consulting fee of $20
- An hourly rate of $45
- An image research fee of $15
Now let's calculate the total cost for each of the specified hours (4, 6, 8, 10, and 12 hours).
-
For 4 hours: \[ \text{Total Cost} = 20 + (45 \times 4) + 15 = 20 + 180 + 15 = 215 \]
-
For 6 hours: \[ \text{Total Cost} = 20 + (45 \times 6) + 15 = 20 + 270 + 15 = 305 \]
-
For 8 hours: \[ \text{Total Cost} = 20 + (45 \times 8) + 15 = 20 + 360 + 15 = 395 \]
-
For 10 hours: \[ \text{Total Cost} = 20 + (45 \times 10) + 15 = 20 + 450 + 15 = 485 \]
-
For 12 hours: \[ \text{Total Cost} = 20 + (45 \times 12) + 15 = 20 + 540 + 15 = 575 \]
Now we have the total amounts Keylie will make:
- 4 hours: $215
- 6 hours: $305
- 8 hours: $395
- 10 hours: $485
- 12 hours: $575
Now, let's summarize this in coordinate format (x-axis for hours, y-axis for total cost):
- (4, 215)
- (6, 305)
- (8, 395)
- (10, 485)
- (12, 575)
Next, we need to identify the correct coordinate range for the graphs:
The x-axis represents hours worked, so it should range from 0 to 15 (covering up to 12 hours).
The y-axis indicates total costs. We calculated a maximum of $575, which requires the y-axis to extend to at least $600.
With this information in mind, the graph should have:
- X-axis from 0 to 15 (representing hours),
- Y-axis from 0 to 600 (to accommodate the total costs).
Among the options, the graph that meets this criteria is: Five points are plotted on a coordinate plane, and a line is graphed passing through them. The x-axis ranges from 0 to 15 in increments of 5. The y-axis ranges from 0 to 600 in increments of 100.
Thus, this graph accurately represents Keylie's earnings based on the calculations provided.