Respuesta :

Answer:

Trevor hikes faster.

Step-by-step explanation:

Using the graph show you can turn it into a table or take Trevor's table and plot each coordinate onto a graph. You can use the graph by taking advantage of the time and distance format by using the line. At 1 hour it shows Sara has traveled 5 kilometers. At 2 hours it shows she has gone up by 5 kilometers (10km). This pattern goes on until the 5th hour (Distance climbs by 5 each time). Sara ends up at 25km by the end of the 5 hours. Trevor ends at an astonishing 36km. Looking at Trevor's table you can tell the pattern is the distance going up 6km every hour which is 1 more kilometer than Sara. Trevor hikes faster than Sara by a 1km difference.

Answer: Trevor

Step-by-step explanation:

To know who's hikes faster, we need to find their slope.

Trevor: choose two-point and calculate the slope, (0,0) and (1,6).

slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

         = (6 - 0) / (1 - 0)

         = 6 / 1

         = 6

Sara: (1, 5) (2, 10)

slope = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

         = (10 - 5) / (2 - 1)

         = 5 / 1

         = 5

6 > 5

Therefore, Trevor is faster than Sara.