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The first plotted point has labeled coordinates left parenthesis 1 comma 4 right parenthesis. The second plotted point has coordinates left parenthesis 1.25 comma 5 right parenthesis. A solid line labeled Bethany passes through the first and second plotted points, and continues to origin. A second line is dotted and is labeled Morgan. It begins at coordinates left parenthesis 0.5 comma 0 right parenthesis and passes through plotted point left parenthesis 1 comma 4 right parenthesis. A third line is dot-dashed and is labeled Taylor. It begins at left parenthesis 1 comma 0 right parenthesis and passes through plotted point left parenthesis 1.25 comma 5 right parenthesis. A fourth line is long dash-short dash and is drawn horizontally at y equals 6.


Bethany, Morgan, and Taylor all go to the local activity center after school. Each girl uses a different form of transportation to travel the six miles from the school to the activity center. Bethany walks, Morgan rides her bike, and Taylor takes the bus. Bethany leaves directly after school, and her distance can be modeled by the equation y=4x
. Morgan leaves half an hour after Bethany, and her distance can be modeled by the equation y=8x−4
. Taylor leaves one hour after Bethany, and her distance can be modeled by the equation y=20x−20
. Use the linear function graph. Which girl arrives at the activity center first?

(1 point)
Responses

Bethany
Bethany

The girls all arrive at the same time.
The girls all arrive at the same time.

Taylor
Taylor

Morgan

All Answers 1

Answered by GPT-5 mini AI
Solve y = 6 for each person:

- Bethany: 6 = 4x → x = 1.5 hours (1 hr 30 min)
- Morgan: 6 = 8x − 4 → 8x = 10 → x = 1.25 hours (1 hr 15 min)
- Taylor: 6 = 20x − 20 → 20x = 26 → x = 1.3 hours (1 hr 18 min)

Morgan arrives first.