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HELP PLEASE!!!!!!
4. In 1990, the value of a prised collector's coin was $12,500. In 2009,
the value of the esin is 820,080. What is the average annual rate of
change?
8. Pat decides to face the cable car to the top of stone Mountain. The graph
shows the height, h, at time t above the starting point for Pat and the cable
car
Height (Yards)
Time
300
250
200
150
100
50
0
Pat
01
a. Complete the table for the average rate of change for the given interva
for Pat and the cable car.
Cable Car
3 4 5 6
Time (Minutes)
Cable Car -#-Pat
0-2 Minutes
7
2-4 Minutes
4-5 Minutes
b. Is the rate of change constant for Pat? Is it constant for the cable
car? Explain
e. What is Pat's average rate of change over the entire trip up the
mountain? What is the cable car's average rate of change over the
entire trip up the mountain?

HELP PLEASE 4 In 1990 the value of a prised collectors coin was 12500 In 2009 the value of the esin is 820080 What is the average annual rate of change 8 Pat de class=

Respuesta :

MrRoyal

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

The average annual rate of change

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

Pat and cable car

The complete table of average rate of change

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:

0 - 2 minutes

Pat = (125 - 0)/(2 - 0) = 62.5

Cable = (100 - 0)/(2 - 0) = 50

2 - 4 minutes

Pat = (200 - 125)/(4 - 2) = 37.5

Cable = (200 - 100)/(4 - 2) = 50

4 - 5 minutes

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

Is the rate of change constant for Pat? Is it constant for the cable car?

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

The average rate of change over the entire trip up the mountain

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

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