Question

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) Responses 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. 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. 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. 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. Skip to navigation what graph is it

Answer 1

To find the total cost for Keylie's services, we can create an equation based on the components you've given:

1. **Consulting Fee**: $20
2. **Hourly Rate**: $45 per hour
3. **Image Research Fee**: $15

The total amount (T) Keylie charges for working \( h \) hours and including image research can be calculated as follows:

\[ T = 20 + 45h + 15 \]

This simplifies to:

\[ T = 35 + 45h \]

Now, we can calculate the total for different hours worked (4, 6, 8, 10, and 12):

- For **4 hours**:
\[ T = 35 + 45 \times 4 = 35 + 180 = 215 \]

- For **6 hours**:
\[ T = 35 + 45 \times 6 = 35 + 270 = 305 \]

- For **8 hours**:
\[ T = 35 + 45 \times 8 = 35 + 360 = 395 \]

- For **10 hours**:
\[ T = 35 + 45 \times 10 = 35 + 450 = 485 \]

- For **12 hours**:
\[ T = 35 + 45 \times 12 = 35 + 540 = 575 \]

Now let's summarize the results:

- 4 hours: $215
- 6 hours: $305
- 8 hours: $395
- 10 hours: $485
- 12 hours: $575

In a graph, the x-axis would represent the number of hours (4, 6, 8, 10, 12), and the y-axis would represent the total amount earned. The points plotted would be (4, 215), (6, 305), (8, 395), (10, 485), and (12, 575).

Given this information, the correct graph would need to have:
- An x-axis with values that go at least up to 12 hours.
- A y-axis that reaches at least $575.

From your descriptions, the graph that fits these criteria is the one that has the x-axis ranging from 0 to 15 and the y-axis ranging from 0 to 600 in increments of 100, as it can represent the total amount Keylie earns accurately with the specific values calculated.