Question

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

Answer 1

`\large \boxed{\text{B) 374 mi/day}}`

Explanation:

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

`\text{slope} = ( y_(2) - y_(1))/( x_(2) - x_(1))`

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

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

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.