Question

riding along in your automobi
your trip is planned, but its time to figure out how many miles youll be travel
on each leg and how many hours it will take to get from place to place, including
gas stops and food breaks. complete the table below.

leg	places	distance	distance rounded	driving time	stopping time	total time
leg •2	yellowstone to denver	542 miles		7 hours 59 minutes	55 minutes
leg •3	denver to austin	99 miles		14 hours 22 minutes	1 hour 5 minutes
leg •4	austin to branson	621 miles		10 hours 3 minutes	50 minutes
leg •5	branson to outer banks	1,212 miles		18 hours 27 minutes	2 hours 10 minutes
leg •6	north carolina to new york city	470 miles		8 hours 45 minutes	45 minutes
leg •7	new york city to cape neddick, maine	275 miles		4 hours 52 minutes	30 minutes

first, round each distance to the nearest hundred. find the estimated distance traveled on all seven legs.

now, find the exact distance traveled on all seven legs.

what is the difference between the estimated and exact distance?

find the difference in distances between the longest and shortest distance traveled.

find the difference in time between the longest travel time and the shortest travel time.

dad decides he doesnt want to drive more than eight hours on any of the travel days (not including stopping time). so once you have been driving for eight hours, he stops at a hotel. find the number of days each leg takes to drive.

leg•	• of days
leg •2
leg •3
leg •4
leg •5
leg •6
leg •7

Explanation:

Step1: Round distances to nearest hundred

1068→1100, 542→500, 99→100, 621→600, 1212→1200, 470→500, 275→300
Sum: $1100+500+100+600+1200+500+300=4300$ miles

Step2: Calculate exact total distance

$1068+542+99+621+1212+470+275=4287$ miles

Step3: Find difference between estimated and exact

$4300-4287=13$ miles

Step4: Identify longest/shortest distances

Longest:1212 miles, Shortest:99 miles
Difference: $1212-99=1113$ miles

Step5: Convert travel time to minutes

Leg1: $5×60+56=356$ mins, Leg2: $7×60+59=479$ mins, Leg3: $11×60+22=682$ mins, Leg4: $10×60+3=603$ mins, Leg5: $18×60+27=1107$ mins, Leg6: $8×60+45=525$ mins, Leg7: $4×60+52=292$ mins
Longest:1107 mins, Shortest:292 mins
Difference: $1107-292=815$ mins ($13$ hrs $35$ mins)

Step6: Calculate days per leg (8hrs/day)

Leg1: $\lceil356/480
ceil=1$, Leg2: $\lceil479/480
ceil=1$, Leg3: $\lceil682/480
ceil=2$, Leg4: $\lceil603/480
ceil=2$, Leg5: $\lceil1107/480
ceil=3$, Leg6: $\lceil525/480
ceil=2$, Leg7: $\lceil292/480
ceil=1$

Answer:

Estimated total distance: 4300 miles
Exact total distance: 4287 miles
Difference between estimated and exact: 13 miles
Difference in distances (longest-shortest): 1113 miles
Difference in travel time: 815 minutes (13 hours 35 minutes)
Days per leg:
Leg1:1, Leg2:1, Leg3:2, Leg4:2, Leg5:3, Leg6:2, Leg7:1