Based on the residual plot, is the linear model appropriate?
Jim has started a new exercise program. He has
monthly checkups where his percentage of body fat is
measured. Jim records his body fat percentage and
the number of months he has been on the exercise
program. He collects data for 10 months and finds a
linear model to give the relationship between the time
spent exercising and his percentage of body fat. The
equation of the line is y = 17 -1.25x, where y is his
percentage of body fat and x is the time spent
exercising (in months). The residual plot is shown
O No, there is no clear pattern in the residual plot.
Yes, there is no clear pattern in the residual plot.
O No, there is a clear pattern in the residual plot,
indicating that the linear model is not appropriate.
o Yes, his percentage of body fat clearly decreases
for the first four months and then increases after
that
Residual
2

For this option, you will work individually. the pythagorean theorem can be used in many real-world scenarios. part 1 write your own real-world scenario where the pythagorean theorem can be applied to find a missing piece. you may choose to write a problem that is two- or three-dimensional in nature. be sure that you will be able to draw a diagram of your scenario. write out your problem and submit it for part 1. be sure to end your scenario with a question. part 2 draw a diagram of the scenario you created in part 1. you may draw by hand and scan and upload your drawing or create a computer-generated drawing for submission. be sure to label all parts and dimensions of the drawing. part 3 solve the question that you posed in part 1. show all of your steps in answering the question. for this option, you will need to submit all three parts for full credit—your real-world problem and question, the diagram that you created, and your work solving the problem, showing all steps. * note that your instructor is looking for your own original idea. while it is acceptable to use the internet for research and inspiration, academic integrity policies apply.

1. are the corresponding angles congruent 2. find the ratios of the corresponding sides 3. is triangle jkl congruent to triangle rst? if so what is the scale factor

In new york city at the spring equinox there are 12 hours 8 minutes of daylight. the longest and shortest days of the year very by two hours and 53 minutes from the equinox in this year the equinox falls on march 21 in this task you use trigonometric function to model the hours of daylight hours on certain days of the year in new york city a. what is the independent and dependent variables? b. find the amplitude and the period of the function. c. create a trigonometric function that describes the hours of sunlight for each day of the year. d. graph the function you build in part c. e. use the function you build in part c to find out how many fewer daylight hours february 10 will have than march 21. you may look at the calendar.