Lydia wants to become a stuntwoman for the movies. She finds a great school online and gets accepted. The only problem is that the school is in California and Lydia doesn't have a car or money for a plane ticket. It will cost her
$2,000 to buy a car that gets 30 miles per gallon. The trip is 1200 miles and gas is $4.00 per gallon. It is $2,500 for the
plane ticket. Which would be cheaper for her the car or the plane?

In the polynomial below, what number should replace the question mark to produce a difference of squares? x2 + ? x - 36

The function show two sisters' savings account and the rate at which they plan to deposit money

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).