Calculus Problem

[persephone]

Data table:
Time after Consumption (min): 30 60 90 120 150 180
Amount of Codeine in Blood (mg): 27.0 23.5 21.2 18.7 16.6 14.5

1.) create a scatter plot of the data and determine a suitable equation to model the amount of codeine in the bloodstream t min after taking the pill. Justify your choice of models.

I attached a photo of the scatter plot I made. I have no idea what to do next. Am I supposed to use the formula A=Pe^kt?

 

[Ishuda]

View attachment 4963

Data table:
Time after Consumption (min): 30 60 90 120 150 180
Amount of Codeine in Blood (mg): 27.0 23.5 21.2 18.7 16.6 14.5

1.) create a scatter plot of the data and determine a suitable equation to model the amount of codeine in the bloodstream t min after taking the pill. Justify your choice of models.

I attached a photo of the scatter plot I made. I have no idea what to do next. Am I supposed to use the formula A=Pe^kt?

You could use that but it also looks fairly linear to me.

 

[stapel]

View attachment 4963

Data table:
Time after Consumption (min): 30 60 90 120 150 180
Amount of Codeine in Blood (mg): 27.0 23.5 21.2 18.7 16.6 14.5

1.) create a scatter plot of the data and determine a suitable equation to model the amount of codeine in the bloodstream t min after taking the pill. Justify your choice of models.

I attached a photo of the scatter plot I made. I have no idea what to do next. Am I supposed to use the formula A=Pe^kt?

Does this look like an exponential-growth pattern? Does it look like the values are ever-increasing, ever-faster, always upward? :shock:

Try using what you learned back in algebra, from all the graphing you did of various different function types.

 

[Ishuda]

Does this look like an exponential-growth pattern? Does it look like the values are ever-increasing, ever-faster, always upward? :shock:

Try using what you learned back in algebra, from all the graphing you did of various different function types.

Actually exponential (Variance ~ 0.14) looks better than linear (Variance~0.89). Have problems putting up graph though.