anonymous
  • anonymous
Isaac keeps track of the miles per gallon his car gets per week. He has accumulated the following data: (1, 24), (2, 24.48), (3, 24.97), (4, 25.47) What is the common difference or ratio? A. The common difference is 0.48. B. The common difference is 0.50. C. The common ratio is 0.98. D. The common ratio is 1.02.
Mathematics
chestercat
  • chestercat
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welshfella
  • welshfella
check for a common difference by working out 24.48 - 24 , then third value - second and 4th value - third to see if they are the same
anonymous
  • anonymous
C?
welshfella
  • welshfella
did you check the common differences?

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welshfella
  • welshfella
Why do you think its is C?
anonymous
  • anonymous
idk
welshfella
  • welshfella
you check the common ratio as follows r = 24.48 / 24 , 24.97 / 24.48 and 25.47/24.97
welshfella
  • welshfella
the common ratio multiplies each term to get the next common difference adds the same value to get the next term
welshfella
  • welshfella
can you work out those divisions 24.48 / 24 = ? use your calculator
anonymous
  • anonymous
1.02 sorry i was talking to my teacher
welshfella
  • welshfella
thats correct now try 24.97 / 24.48 and 25.47/24.97 if these 2 are also 1.02 you'll know the correct choice
anonymous
  • anonymous
1.020016339869281 and 1.020024028834602
anonymous
  • anonymous
so D
welshfella
  • welshfella
right - well we won't worry about about the decimals after 1.0200 Yes it is D.
anonymous
  • anonymous
thnx :)
welshfella
  • welshfella
A gave differences or 0.48, 0.49 and 0.50 so its not an arithmetic sequence
welshfella
  • welshfella
yw
welshfella
  • welshfella
I could have just given you the answer but you learn more by getting involved yourself
anonymous
  • anonymous
thnx :)
welshfella
  • welshfella
yw

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