Question

Use the image to answer the question.

Four lines and two points are graphed on a coordinate plane. The x-axis is labeled Hours and ranges from 0 to 2 in increments of 0.5. The y-axis is labeled Miles and ranges from 0 to 6 in increments of 2.
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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)

Morgan

Bethany

Taylor

The girls all arrive at the same time.
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Answer 1

Morgan

Solve y = 6 for each:

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

Morgan arrives first.