<span>Found a similar problem with the given table.
Elapsed time
(Minutes) 0 10 20 30 40 50 60 70 80 90
Rate
(gallons / minute) 42 40 38 35 35 32 28 20 19 10
Because the interval is every 10 minutes, we will use 10 and multiply it to each rate and get the sum total.
42*10 + 40*10 + 38*10 + 35*10 + 35*10 + 32*10 + 28*10 + 20*10 + 19*10 + 10*10
420 + 400 + 380 + 350 + 350 + 320 + 280 + 200 + 190 + 100
2,990
There will be a total of 2,990 gallons in the tank after 90 minutes. </span>
Eight should be the answer you are looking for.
A. If you plot the points in a graph, it would look like that shown in the picture attached. If we use linear regression, the correlation is very poor. The coefficient of correlation (r2) is only 0.0017. There is no linear relationship between time and velocity.
B. The slope of the graph is equal to y2-y1/x2-x1, In this case, it would specifically be v2-v1/t2-t1
Slope = 0.8-0.2/20-10 = 0.06 miles/s^2
The slope represents the acceleration at time 10 to 20 minutes.
C. The table in the graph shows causation rather than correlation. The points in the data occur in a sequential manner.