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Mathematics 28 Online
OpenStudy (amorfide):

no idea how to start

OpenStudy (amorfide):

OpenStudy (amorfide):

just for 7.5

OpenStudy (triciaal):

like the directions said start with plotting the graph

OpenStudy (amorfide):

I meant after the graph sorry

OpenStudy (triciaal):

what would be the line of best fit then what would be the slope of that line of best fit ?

OpenStudy (triciaal):

at the start would be week 0

OpenStudy (amorfide):

hmm wait let me draw a super accurate graph brb

OpenStudy (triciaal):

exponential growth yes because not by the same amount each week. as the number of weeks increase the amount of growth increases more than the week before

OpenStudy (amorfide):

oh wait so I wouldn't just have one answer? I would have a different answer per week?

OpenStudy (amorfide):

could I not just use the formula y=Ae^(kt) (once I figure out A from the line of best fit)

OpenStudy (triciaal):

week 4 - week 3 more than week 3 - week 2 so each week the growth is more

OpenStudy (amorfide):

Thank you! My friend said the answer was 2.5, and I thought there must be a different amount each time so... I was confused

OpenStudy (dumbcow):

\[y = ab^t\] use endpoints to find a and b \[ab = 14\] \[ab^6 = 115\] \[\rightarrow 14b^5 = 115\] \[b =( \frac{115}{14})^{1/5} = 1.52\] This is the multiplication rate \[\rightarrow a = \frac{14}{b} = \frac{14}{1.52} = 9.19\] This is the initial amount of weeds

OpenStudy (triciaal):

@3mar

OpenStudy (amorfide):

Thank you both, tremendous help :) <3

OpenStudy (3mar):

yes @triciaal

OpenStudy (triciaal):

@3mar nvm the question is now closed but if I tag you it means you may help on that question at my special request thanks

OpenStudy (3mar):

Thank you for your confidence @triciaal For all of you, some said \(~~y=a*b^{kx}~~\) , other said \(~~y=h*e^{qx}~~\), but I think that the best fit and most accurate curve of that growth is "quartic equation" Here is my approach! https://www.desmos.com/calculator/4b1tc2kg2k Take that and see!

OpenStudy (amorfide):

That is an interesting approach 3mar, thank you for sharing

OpenStudy (3mar):

No problem. You are welcome! I hope I helped you. Any Help... Any Time...

OpenStudy (3mar):

Are you satisfied, @amorfide?

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