Jackson relies on his customers to tell their friends about his business. His business grows as each customer continues to tell others about his or her experience and they in turn tell others as well. The table shows the number of people who have recommended Jackson’s business for different days after it first opens.

Time (days), x 3 4 7 10 12 13 17 18 21 27 30
Number of personal recommendations, y 12 14 18 23 28 31 46 50 67 118 157

(a) Write the exponential regression equation that models the data.
(b) Use the equation to estimate the number of personal recommendations 60 days after Jackson opens his business. Show your work.

Which best describes the transformation that occurs in the graph? a) dilation b) reflection c) rotation d) translation

Hye ryung is the president of the local chapter of the american medical students association (amsa). she is organizing local outreach and informational meetings. at her first meeting there are five people present (including herself). every month after that her group grows by 5 people. a. how many members are in the group after 6 months? b. the logistics of hosting and feeding her group at meetings was more complicated than expected. the cost of feeding 5 people at her first meeting was $30, for 10 people it was $35, for 15 it was $45, and after 6 months all of the costs had added up to $100. write a function to model the cost with the number of people attending meetings. c. what connections can you make between the linear growth of the group’s membership and the increasing costs of running meetings?

Solve 3x-18=2y and 5x-6y=6 by elimination show work