Keylie is a freelance web designer. She charges her clients a $20 consulting fee plus $45 per hour worked. If they need images, Keylie charges an additional $15 fee for image research. Which graph accurately represents how much money Keylie will make if she has to work for 4, 6, 8, 10, and 12 hours for a client and has to find images?(1 point)

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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.
Image with alt text: 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.

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 100 in increments of 20.
Image with alt text: 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 100 in increments of 20.

Five points are plotted on a coordinate plane, and a line is graphed passing through them. The x-axis ranges from 0 to 600 in increments of 100. The y-axis ranges from 0 to 12 in increments of 2.
Image with alt text: Five points are plotted on a coordinate plane, and a line is graphed passing through them. The x-axis ranges from 0 to 600 in increments of 100. The y-axis ranges from 0 to 12 in increments of 2.

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.
Image with alt text: 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.
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Answer 1

To find out how much money Keylie will make for different hours worked (4, 6, 8, 10, and 12 hours) including the image research fee, we can use the following formula:

Total cost = Consulting fee + (Hourly rate × Hours worked) + Image research fee

Given:

• Consulting fee = $20
• Hourly rate = $45
• Image research fee = $15

We can calculate the total for each time worked:

1. For 4 hours: \[ \text{Total cost} = 20 + (45 \times 4) + 15 = 20 + 180 + 15 = 215 \]

2. For 6 hours: \[ \text{Total cost} = 20 + (45 \times 6) + 15 = 20 + 270 + 15 = 305 \]

3. For 8 hours: \[ \text{Total cost} = 20 + (45 \times 8) + 15 = 20 + 360 + 15 = 395 \]

4. For 10 hours: \[ \text{Total cost} = 20 + (45 \times 10) + 15 = 20 + 450 + 15 = 485 \]

5. For 12 hours: \[ \text{Total cost} = 20 + (45 \times 12) + 15 = 20 + 540 + 15 = 575 \]

Now we have the following points to plot:

• (4, 215)
• (6, 305)
• (8, 395)
• (10, 485)
• (12, 575)

Next, we can assess these points against the descriptions of the graphs provided:

• X-axis clearly represents hours.
• Y-axis represents total earnings in the range that accommodates values from 215 to 575.

Based on the above points, the graph that best represents these calculations will have the x-axis ranging from 0 to 15 in increments of 5 and the y-axis ranging from 0 to 600 in increments of 100, which would include all of our calculated points.

Thus, the correct graph is the one that accurately reflects these values on the given axes.