First of all...the cable car's avg rate of change is constant....it is straight line
It changes by 50 ft per second over all the given intervals
Pat's rate of change from 0 to 2
[ 125 - 0 ] / [ 2 - 0 ] = 125 / 2 = 62.5 ft /min
From 2 to 4
[ 200 - 125 ] / [ 4 - 2 ] = 75/2 = 37.5 ft / min
From 4 to 5
[ 225 - 200] / { 5 - 4 ] = 25 /1 = 25 ft / min
Looks like Pat is running out of gas at the end while the cable car maintains the same steady pace.....LOL!!!
b Pat's rate of change is not constant.....the cable car's rate of change is
c Pat's average rate over the ntire trip = [ 250 - 0 ] / [ 6 - 0 ] = 250 / 6 ≈ 41.66 ft / min
As before....the cable car's rate = 50ft / min
Tysm for all of your help! I'm guessing you want me to do the cable cars avg rate of change for 5a