Pat's average rate of change over the entire trip up the mountain is 41.7, while the cable car's average rate of change over the entire trip up the mountain is 50
<h3>The average annual rate of change</h3>
The given parameters are:
Value in 1990 = $12,500
Value in 2009 = $20,050
The average annual rate of change is then calculated as:
Rate of change = Difference in the values/Difference in the years
So, we have:
Rate of change = (20050 - 12500)/(2009 - 1990)
Evaluate
Rate of change = 397.37
<h3>Pat and cable car</h3>
<u>The complete table of average rate of change</u>
The average rate of change is calculated as:
Average rate of change = Difference in heights at the intervals/Difference in the interval
So, we have:
<em>0 - 2 minutes</em>
Pat = (125 - 0)/(2 - 0) = 62.5
Cable = (100 - 0)/(2 - 0) = 50
<em>2 - 4 minutes</em>
Pat = (200 - 125)/(4 - 2) = 37.5
Cable = (200 - 100)/(4 - 2) = 50
<em>4 - 5 minutes</em>
Pat = (225 - 200)/(5 - 4) = 25
Cable = (250 - 200)/(5 - 4) = 50
So, the complete table is:
Time 0 - 2 minutes 2 - 4 minutes 4 - 5 minutes
Pat 62.5 37.5 25
Cable 50 50 50
<h3>Is the rate of change constant for Pat? Is it constant for the cable car? </h3>
The rate of change is not constant for Pat, while the rate of change is constant for the cable car
This is so because, we have different values for the rate of change for Pat, while we have only one value for the rate of change for Cable car
<h3>The average rate of change over the entire trip up the mountain</h3>
This is calculated as:
Average rate of change = Difference in heights at the intervals/Difference in the interval
So, we have:
Pat = (250 - 0)/(6 - 0) = 41.7
Cable = (250 - 0)/(5 - 0) = 50
Hence, Pat's average rate of change over the entire trip up the mountain is 41.7, while the cable car's average rate of change over the entire trip up the mountain is 50
Read more about average rate of change at
brainly.com/question/2170564
#SPJ1
