2 Cecelia planted two bushes at the same time and measured their heights over several years. She represented each bush's growth as shown. Bush A: y Bush B: Had a height of 7.5 in. when planted; Grew at a constant rate of 2.5 in. per year 36 32 28 24 Bush Height (in.) 20 16 12 8 4 0 1 2 3 4 5 6 7 8 9 10 Years Since Planted Which of the following statements are true? Choose all that apply. А Bush A has a greater rate of change than Bush B. B Bush B has an initial value less than the initial value of Bush A. C After 7 years, Bush B was 1 inch taller than Bush A. D Bush B grows at a slower rate than Bush A. E Bush A and Bush B were the same height when planted. Curriculum Associates, LLC Copying permitted for classroom use. Grade & Lesson 7 Compare Functions Daa

Create a question with this scenario you could ask that could be answered only by graphing or using logarithm. david estimated he had about 20 fish in his pond. a year later, there were about 1.5 times as many fish. the year after that, the number of fish increased by a factor of 1.5 again. the number of fish is modeled by f(x)=20(1.5)^x.

22. catie is starting a babysitting business. she spent $26 to make signs to advertise. she charges an initial fee of $5 and then $3 for each hour of service. write and solve an inequality to find the number of hours she will have to babysit to make a profit. interpret the solution.!

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).