Hahawowoh
  • Hahawowoh
Cory has 15 die-cast cars in his collection. Each year his collection increases by 20%. Roger has 40 cars in his collection. Each year he collects 1 additional car. Part A: Write functions to represent Cory and Roger's collections throughout the years. (4 points) Part B: How many cars does Cory have after 6 years? How many does Roger have after the same number of years? (2 points) Part C: After approximately how many years is the number of cars that Cory and Roger have the same? Justify your answer mathematically. (4 points)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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Hahawowoh
  • Hahawowoh
please help
misty1212
  • misty1212
HI!!
misty1212
  • misty1212
you are not getting an answer because there is no information with which to answer it

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Hahawowoh
  • Hahawowoh
there I fixed it
misty1212
  • misty1212
to increase a number by \(20\%\) multiply it by \(100\%+20\%=120\%=1.2\) so a good function for cory is \[15\times 1.2^t\]
Hahawowoh
  • Hahawowoh
I have everything just part c
misty1212
  • misty1212
i guess you are supposed to solve \[t+40=15\times (1.2)^t\]
misty1212
  • misty1212
it says "approximately" so i would use this http://www.wolframalpha.com/input/?i=t%2B40%3D15%281.2%29%5Et
misty1212
  • misty1212
or since you were already asked how many each had in six years, and since those numbers are almost equal, say "six"

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