Question

Check my answer?

Answer 1

In 1990, the value of a prized collector’s coin was $12,500. In 2009, the value of the coin is $20,050. What is the average annual rate of change?

Answer 2

397.368

Answer 3

@jim_thompson5910

Answer 4

you should have gotten 397.368421052631 which will round to 397.37 (round to the nearest penny, ie, 2 decimal places)

Answer 5

so it looks like you just need to round and then you're done

Answer 6

I set up the formula properly?
\[\frac{ 20,050-12,500 }{ 2009-1990 }\]

Answer 7

yes that's correct

Answer 8

could you help me with a rate of change table?

Answer 9

sure

Answer 10

how far did you get with this?

Answer 11

pat's time: 62.5

Answer 12

what did you write before that to get 62.5? what steps?

Answer 13

\[\frac{ 0-125 }{ 0-2 }\]

Answer 14

good

Answer 15

so that's for Pat in the "0-2 min" column

how about the "2-4 min" column?

Answer 16

\[\frac{ 200-125 }{ 4-2 }=37.5\]

Answer 17

good

Answer 18

how about the "4-5 min" column?

Answer 19

25

Answer 20

\[\frac{ 225-200 }{ 5-4 }\]

Answer 21

correct

Answer 22

how about the cable car row now?

Answer 23

\[\frac{ 100-0 }{ 2-0 }=50\]

Answer 24

correct

Answer 25

\[\frac{ 200-100 }{ 4-2 }=50\]

Answer 26

yep that's for the second box in that row

how about the third?

Answer 27

\[\frac{ 250-200 }{ 5-4}\]

Answer 28

=50

Answer 29

yep all 50

Answer 30

visually we can see this because the points all fall on the same straight line (with slope 50)

Answer 31

Pat's graph isn't a straight line. Pat is driving at different speeds. The cable car is slow at some points, but it's speed is steady and never changes. Despite it being slow, the cable car wins the race

Answer 32

yay! one more

Answer 33

what did you get for part C?

Answer 34

pat-
35.71

Answer 35

how did you get 35.71 for pat?

Answer 36

\[\frac{ 350-0 }{ 7-0 }\]

Answer 37

why 7?

Answer 38

your right, it should be 6.

Answer 39

41.67

Answer 40

jim?

Answer 41

yes, 41.67 is the correct approx answer for Pat's avg speed over the entire trip

Answer 42

Alright, the cable car's rate is : 50

Answer 43

yes correct

Answer 44

Thank you so much!!!

Answer 45

you're welcome