Question

8 multiple choice 0.5 points

1. the jamison family kept a log of the distance they traveled during a trip, as represented by the graph. during which interval was their average speed the greatest?

from 1 to 2 hours
from 2 to 4 hours
from 4 to 6 hours
from 6 to 8 hours
from 8 to 10 hours

Explanation:

Step1: Calculate average speed formula

Average speed \(v=\frac{\Delta d}{\Delta t}\), where \(\Delta d\) is the change in distance and \(\Delta t\) is the change in time.

Step2: Calculate for 1 - 2 hours

\(\Delta d = 110 - 40=70\) miles, \(\Delta t=2 - 1 = 1\) hour. \(v_1=\frac{70}{1}=70\) miles per hour.

Step3: Calculate for 2 - 4 hours

\(\Delta d=180 - 110 = 70\) miles, \(\Delta t=4 - 2=2\) hours. \(v_2=\frac{70}{2}=35\) miles per hour.

Step4: Calculate for 4 - 6 hours

\(\Delta d=230 - 180 = 50\) miles, \(\Delta t=6 - 4 = 2\) hours. \(v_3=\frac{50}{2}=25\) miles per hour.

Step5: Calculate for 6 - 8 hours

\(\Delta d=350 - 230=120\) miles, \(\Delta t=8 - 6 = 2\) hours. \(v_4=\frac{120}{2}=60\) miles per hour.

Step6: Calculate for 8 - 10 hours

\(\Delta d=390 - 350 = 40\) miles, \(\Delta t=10 - 8=2\) hours. \(v_5=\frac{40}{2}=20\) miles per hour.

Answer:

From 1 to 2 hours.