Which shows how to use similar right triangles to find the equation of the line through (0,5) and any point, (2, y), on the line?
m+bb
1-0, so y = mx + 6.
(x, y)
y-b
(1 mb)
1, so y - b = mx +b.
m2
(0, b)
X
(0,0)
1-0 = "=0, so y = mu.
m+b-b
-0 so x = my + mb.

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?

F(x)= 4x g(x) =x-1 what is f(x) divided by g(x)

Astudent draws two parabolas on graph paper. both parabolas cross the x-axis at (-4, 0) and (6,0). the y-intercept of thefirst parabola is (0, –12). the y-intercept of the second parabola is (0-24). what is the positive difference between the avalues for the two functions that describe the parabolas? write your answer as a decimal rounded to the nearest tenth.