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

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 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 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 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.

1 answer

To determine how much money Keylie will make for different hours worked and whether she will charge for image research, we can calculate her total earnings based on her pricing structure.

Keylie's fees are:

  • Consulting Fee: $20
  • Hourly Rate: $45 per hour
  • Image Research Fee (if applicable): $15

When she has to find images, the total amount she makes can be calculated using the formula:

\[ \text{Total Earnings} = \text{Consulting Fee} + (\text{Hourly Rate} \times \text{Hours Worked}) + \text{Image Research Fee} \]

Now, we can calculate the total earnings for 4, 6, 8, 10, and 12 hours:

  1. For 4 hours worked: \[ 20 + (45 \times 4) + 15 = 20 + 180 + 15 = 215 \]

  2. For 6 hours worked: \[ 20 + (45 \times 6) + 15 = 20 + 270 + 15 = 305 \]

  3. For 8 hours worked: \[ 20 + (45 \times 8) + 15 = 20 + 360 + 15 = 395 \]

  4. For 10 hours worked: \[ 20 + (45 \times 10) + 15 = 20 + 450 + 15 = 485 \]

  5. For 12 hours worked: \[ 20 + (45 \times 12) + 15 = 20 + 540 + 15 = 575 \]

Now let’s summarize the results:

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

Now, we can evaluate the plotted points that correspond to these earnings. The correct graph will show the coordinates corresponding to 4 (215), 6 (305), 8 (395), 10 (485), and 12 (575).

Reviewing the given graph options, the y-axis must go high enough to include a maximum of $575. Thus, the graph where the y-axis ranges from 0 to 600 in increments of 100 would be appropriate.

Hence, the accurate representation of Keylie’s earnings for the specified hours and with the image research fee added would be:

The second option that ranges from 0 to 600 in increments of 100.