Afilm crew documented the korowai tribe as they built one of their amazing tree houses . based on the home construction the crew captured on film, the relationship between the number of occupants (people who will live in the home) and the number of bundles of palm leaves needed to build the home can be stated as: six more than twice the number of occupants is equal to the number of bundles. translate the sentence into an equation. use p for the number of occupants and b for the number of bundles of palm leaves. enter your response in the box. *** make sure to use "p" and "b" in your equation. you do not have to solve this equation.

After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. you notice the rainbow is the shape of a parabola. the equation for this parabola is y = -x2 + 36. graph of a parabola opening down at the vertex 0 comma 36 crossing the x–axis at negative 6 comma 0 and 6 comma 0. in the distance, an airplane is taking off. as it ascends during take-off, it makes a slanted line that cuts through the rainbow at two points. create a table of at least four values for the function that includes two points of intersection between the airplane and the rainbow. analyze the two functions. answer the following reflection questions in complete sentences. what is the domain and range of the rainbow? explain what the domain and range represent. do all of the values make sense in this situation? why or why not? what are the x- and y-intercepts of the rainbow? explain what each intercept represents. is the linear function you created with your table positive or negative? explain. what are the solutions or solution to the system of equations created? explain what it or they represent. create your own piecewise function with at least two functions. explain, using complete sentences, the steps for graphing the function. graph the function by hand or using a graphing software of your choice (remember to submit the graph).

Set up and solve a proportion for the following application problem. if 55 pounds of grass seed cover 404 square feet, how many pounds are needed for 7272 square feet?

Cody ran nine miles on his first day of training. the next day he ran 1/8 that distance. how far did he run the second day?