1. Graph the information below as a scatter plot. Turn your graph paper to landscape. Use 1960 as year 0. Let each square along the x-axis represent one year. Let each square on the y axis represent 100 students. Label your x-axis and y-axis appropriately Enrollment in a local college year Enrollment 1960 1000 1965 100 1970 1600 1975 1700 1980 000 1985 300 1990 900 Use 1965 and 1985 to establish the line of best fit. Leave your final answer in the form y=mx+b Use the equation of the line found in the previous stepto extrapolate the student enrollment in the year 005. Create the same scatter plot on the TI-84 in appropriate window. Enter your equation into the calculator as y1. Use the table feature to find the enrollment in 1975. Compare it to the actual enrollment in 1975.
. This is Mr. Lyngar's prediction for Super Bowl scoring. I believe that the total touchdowns and field scores for the two teams will be at most 15. I believe that there will be at least 7 field goals kicked that will be good. I predict that there will be at most 5 touchdowns scored. I predict that the combined score for the two teams will be at least 4 points. Write below this system of inequalities. Let x=field goals and y=touchdowns (7 points) Graph the system on the grid below. Mark each point that satisfies the system with a solid dot. State all 4 ordered pairs that satisfy this system of inequalities. 15 touchdowns 10 5 0 0 5 10 15 field goals
3. The following formula is used in order to determine the resistance of a piece of wire. 4 pl R d Find the resistance (R) of a piece of wire if l.4 10 4 p 6.8 10 6 d.08 3.14159 Leave your final answer in scientific notation. 4. The force of attraction between two massive objects is given by the formula. Gm m F d 1 Find the force of attraction between the Earth and Jupiter if the mass of Jupiter is mass of the earth is G 4 6.0 10, the distance between them is 11 6.67 10. Leave your answer in scientific notation. 11 7.8 10, and 7 1.9 10, the 8 5. The speed of light is 3 10 meters /sec ond and the distance from the Earth to Jupiter 11 11 is 5.9 10 meters when Jupiter is closest to earth and 9.7 10 meters when it is furthest away from earth. How long will it take a signal from earth to reach Jupiter when it is closest? Give your in both scientific and decimal notation. Round your answer to the nearest second. How long will it take a signal from earth to reach Jupiter when it is furthest? Give your in both scientific and decimal notation. Round your answer to the nearest second.
6. Bob buys a new car for his wife for $14,000 and a used truck for himself for $1,000. The car depreciates exponentially at % each year. The truck depreciates at a constant rate of $1,300 each year. a. State the depreciation equation for the Car. b. State the depreciation equation for the Truck. c. Use the equations, your TI-84, and fill in the table. Find the value of the car and truck over a period of 6 years. Round all answer to the nearest dollar. d. Use the graph paper supplied to graph the two equations. Label your axis properly. Let 3 squares on the x-axis represent one year. Let one square on the y-axis represent $1,000. e. Graph both equations on your TI-84 in an appropriate window and use the INTERSECT to find the number of years it takes for the car and truck to have the same value. years Car Truck 0 1 y 3 4 5 6 x
7. A piece of sheet metal that is 13 inches longer than it is wide is formed into a pan by cutting out 3 inch congruent squares out of each corner. The volume of the pan formed when the flaps are folded up is 50 cubic inches. Find the dimensions of the original rectangular sheet of metal. (.001) 8. A right triangle is formed in which one leg is 1 centimeter more than twice the length of the other leg. The hypotenuse is cm longer than the longest leg. Find the length of all three sides of the triangle. (.001)
9. A baseball is hit straight up into the air from 3 feet above ground level with a velocity of 65 ft/sec. At what two times does the ball reach 40 feet above the ground? Use your TI-84 to give your answers to the nearest thousandth. You do not need to simplify your irrational solutions. h s vt 16t h= height of the ball above the ground s= initial height of the ball above the ground v= velocity of the ball 1 10. Graph the parabola, y x x 3, on the TI-84. State the vertex (, ) State the two roots (zeroes)., (.001) State the viewing window that allows you to see the vertex and the two roots. Xmin Xmax Ymin Ymax
11. Graph the quadrilateral whose vertices are A(1,1) B(5,-) C(,-6) D(-,-3) Use the distance formula to find the length of each. Simplify the radical, but do not give approximations. y AB= 3 BC= CD= x AD= Find the slope of AB= BC= -6-7 CD= AD= The best description of quadrilateral ABCD is a Find the slope of diagonal AC and BD Find the length of diagonal AC and BD Find the midpoint of diagonal AC(, ) and BD(, ) The diagonals are,, and they each other.