End of day/Distance from home
1 /383
2 /682
3 /1132
4 /1503
5 /1906
6 /2196
- In the table, Adam recorded the miles he traveled each day while traveling from his home to California. Calculate the average rate
of change between day 1 and day 3.
A)283 miles per day
B)375 miles per day
C)450 miles per day
D)566 miles per day

Respuesta :

znk

Answer:

[tex]\large \boxed{\text{B) 374 mi/day}}[/tex]  

Step-by-step explanation:

The average rate of change from one point to another is the slope of the straight line joining the two points.

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

From Day 1 to Day 3, your points are (1, 383) and (3, 1132).  

[tex]\text{Slope} = \dfrac{1132 - 383 }{3 - 1} = \dfrac{749 }{2} = \textbf{374 mi/day}\\\\\text{The average rate of change from Day 1 to Day 3 was $\large \boxed{\textbf{374 mi/day}}$}[/tex]

The graph below shows the rate of change from Day 1 to Day 3 as a black line. It appears from the graph that Adam and his dad kept the same rate of change for the whole trip.

Ver imagen znk