1) a company sells boxes of cow bells (b) for $20 and boxes of air horns (h) for $30.
they can make a batch of cow bells that fills 8 boxes or a batch of air horns that fills 9 boxes.
the company only has 53 boxes. which system of equations the company plan to make $275?
a. b = 53 - h
8b + 9h = 53
b. 8b = 53 - 9h
20b + 30h = 275
c. b = 53 - h
20b + 30h = 275
d. 8b = 53 - 9h
20b - 30h = 275
2) captain stacey is going to load her sailboat with jars of honey. she has room for 11 jars. she has allotted for 58 pounds of honey on her boat. she can choose from 3-pound jars (the variable j) or 7-pound jars (the variable h). which equations would be a constraint to captain stacey maximizing her honey load?
a. j - h = 11
b. j = 11 + h
c.3j = 58 + 7h
d.3j = 58 - 7h

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).