Theo is renting two kinds of tables for his party. One type of table seats 4 people and the other seats 6 people. If 36 people will be at his party and he rents 7 tables, how many of each type of table does he rent? 4 seats: 6 seats: Geneva is saving for a new dress. She already has $20 saved and intends to save $7 each week. The equation for the amount of money y she has saved is y = 7x + 20, where x is the number of weeks. What do the slope and y-intercept represent? Write in the space below. continueMath 8 Exam 3 Math 8 13. Solve the system by graphing. y =-2x + 3 y =x-1 O 14. Juanita is bringing the snacks for her daughter's soccer team. Each girl on the team will eat 1 of an orange and drink one serving of juice or , of the amount in a bottle. How many oranges and how many juice bottles will she need for all 18 girls? 15. The top of Angie's ladder is resting against the side of her house 22 feet above the ground. If the base of the ladder is 5 feet from the house, what is the slope of the ladder? 16. Store A is offering four bottles of nail polish for $15. Store B is offering six bottles of nail polish for $21. Find the cost per bottle at each store. Show your work.Math 8 Exam 3 Student Name Student Number 17. State the slope and y-intercept for the graph of the equation -8x + y =-12. slope: y-intercept: 18. Write an equation in slope-intercept form for the graph of the line shown. No 19. State the x- and y-intercepts for the graph of -2y - 5x = -20. x-intercept: y-intercept: 20. Solve the system of equations by graphing. y = 3x - 2 Ty xty = 6 O 1 conMath 8 Exam 3 21. The value of a new car depreciates (loses value) in many ways. First, a new car can depreciate in value up to 25% once it is purchased and driven off of the car lot. After that the value of a car depreciates each year because it is one year older. Let's consider two different new cars Car A Car B Purchase Price $30,000 $25,000 Percent of Initial Depreciation | 20% 10% Yearly Depreciation $2,000 $1,500 What is the value of Car A and Car B immediately after they are purchased and driven off the car lot? 22. Complete the table and find the value of each vehicle at the end of the indicated year. Car Value at the End Car A Car B of the Indicated Year 1st 2nd 3rd 4th 5thStudent Number 23. Find the constant rate of change in the value of Car A and in the value of Car B after the initial depreciation. Boost 24 Based on the data in the table and the constant rate of changes for each vehicle, write an equation to predict the value of Car A and Car B at the end of t yearsMath 8 Exam 3 25. Graph both equations from question 24 on the graph below. Label both the x- and y-intercepts and the points of intersection. 24,000 Value of Cars ($) 12,000 2,000 0 1 2 3 4 5 6 7 9 10 11 12 13 14 15 16 Year 26. Interpret the meaning of both the x- and y-intercepts for each line and the point of inter