SOLUTION: The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida. Estimate the distance the ra

Algebra ->  Test -> SOLUTION: The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida. Estimate the distance the ra      Log On


   

Question 1157394: The table shows speedometer readings at 10-second intervals during a 1-minute period for a car racing at the Daytona International Speedway in Florida. Estimate the distance the race car traveled during this time period using the velocities at the beginning of the time intervals.
Time (s) Velocity (mi/h)
0 182.9
10 168.0
20 106.6
30 99.8
40 124.5
50 176.1
60 175.6
Answer by KMST(5433) About Me  (Show Source):
You can put this solution on YOUR website!
"During this time period" must mean from the time listed first (0 seconds) to the time listed last (60 seconds).
That time period is made up of 6 ten-second time intervals.
Table showing those 6 ten-second time intervals,
and the corresponding velocities at the beginning of those time intervals:

The distance traveled during that 0-60 second period is to be calculated
based on "velocities at the beginning of the time intervals"
The last velocity listed in the question, 175.6%22mi+%2F+h%22 ,
is the velocity at the end of the 50-60 minute interval.
Unless they later ask to calculate based on velocities at the end of the time intervals,
we do not have any use for that piece of information,
and it is there just to check if we can read and follow instructions.
Each ten-second time intervals is %2810second%29%281minute%2F60seconds%29%281hour%2F60minutes%29%22=%2210%2A1%2A1%2F%2860%2A60%29hours%22=%22highlight%281%2F360%29hours

We can estimate the distance the race car traveled during each ten-second time interval in miles
by multiplying the velocity at the beginning of each time interval
times the duration in hours of each interval as calculated/highlighted above,
and then add up those miles.
,
but we know that there is an easier way to calculate that:

%22=%22%28182.9%2B%22168.0%22%2B106.6%2B99.8%2B124.5%2B176.1%29%281%2F360%29%22=%22857.9%281%2F360%29=2.383%28rounded%29
The estimated distance the race car traveled during the 0-60 second period,
calculated using the velocities at the beginning of the ten-second time intervals is highlight%282.383miles%29 .