Question

Linda and Imani are each traveling in a car to the beach. Linda’s travel is modeled by a table. Imanis travel it modeled by graph.

Answer 1

Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

      Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

      - Take any two points: (0,10) and (1, 65).

      Slope = (y1 - y2)/(x1 - x2)

                = (65-10)/(1-0)

                   = 55

    Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

      - Take any two points: (0,0) and (1, 60).

      Slope = (y1 - y2)/(x1 - x2)

                = (60-0)/(1-0)

                   = 60

    Since the slope is 60, we know her speed is 60 miles per hour.  

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.