The volume of a pyramid varies jointly with its height and the area of its base. A pyramid with a height of 16 feet and a base area of 78 square feet has a volume of 416 cubic feet. If a pyramid has a base area of 102 square feet and a volume of 238 cubic feet, find its height.

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?

How many lines can be drawn through points j and k? 0 1 2 3

Which expression can be used to determine the slope of the line that passes through the points -6, three and one, -9