At a ski resort, the cost of renting ski equipment for x days can be represented by the function
f(x) = 44x + 8.

the cost of renting ski equipment for x days at another ski resort can be represented by the function g(x) = 30x + 15.

which of the following represents h(x) = f(x) – g(x), the difference in the rental amounts between the resorts?

a) h(x) = 74x – 23
b) h(x) = 74x + 7
c) h(x) = 14x – 7
d) h(x) = 14x + 7

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?

Afactory makes propeller drive shafts for ships. a quality assurance engineer at the factory needs to estimate the true mean length of the shafts. she randomly selects four drive shafts made at the factory, measures their lengths, and finds their sample mean to be 1000 mm. the lengths are known to follow a normal distribution whose standard deviation is 2 mm. calculate a 95% confidence interval for the true mean length of the shafts. input your answers for the margin of error, lower bound, and upper bound.

Drag each tile into the correct box. not all tiles will be used. find the tables with unit rates greater than the unit rate in the graph. then tenge these tables in order from least to greatest unit rate