How many flowers should Joanne estimate she needs for this wedding?

Joanne works for a florist. She needs to estimate how many flowers to order for 12 wedding bouqeets. She did similiar bouqets for two weddings in the past. For on she used 72 roses for 5 similar bouets and for the other, she made 16 similar bouqets using 243.





How many flowers should Joanna estimate she needs for this wedding?





[show work, please.]

How many flowers should Joanne estimate she needs for this wedding?
Greetings,





assuming a linear relationship between the number of bouquets and the number of flowers





f = mb + c, where m is the slope of the line and c is the intercept





72 = 5m + c


243 = 16m + c





subtracting the two equations gives





171 = 11 m


m = 15.5





72 = 5*15.5 + c, substituting back into the first equation gives


c = 72 - 5*15.5


c = -5.5





f = 15.5b - 5.5, for 12 bouquets


f = 15.5(12) - 5.5


f = 180.5





She would need 181 flowers for 12 bouquets





Regards
Reply:Joanne has more experience that a lot of people. Why can't she figure it out? I would know what I want without her experience. You go with what you want. Simplicity is the key, I think. The plain and simple with a ribbon or etc. would be perfect. It would be elegant. It doesn't have to cost a lot or weigh you down carrying it down the isle to be the right thing.
Reply:72 roses for 5 wedding bouquet.


On the average, 72/5 =12.4 roses for 1 wedding.


In the other situation, 243 roses for 16 weddings.


On the average, 243/16 = 15 %26amp; 3/16 for 1 wedding.


So, based on these 2 numbers, for 12 weddings, she needs anywhere between 144 and 180 roses.