sarah has been running a dog-walking business since 2010. she walks dogs twice a day, takes them to the park, and returns them to their homes. each year, she has increased her fee by the same amount. the table shows what sarah charged each customer for two given years of her business:

year annual dog-walking fee
2010 $350
2014 $750
show your
a. what is the rate of change and initial value for sarah’s business? how do you know?
b. write an equation in slope-intercept form to represent the fees that sarah charges each year

What is the most accurate measurement of 1 pound

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?

If $740 is invested at an interest rate of 11% per year and is compounded continuously, how much will the investment be worth in 7 years? use the continuous compound interest formula a = pert.