Question 1 (3 points) Match the point that represent each intercept: 2a: 6y 3z 2 12 Column A Column B 1. xintercept a. (0,5,0) 2. y-intercept b. (0,0,4) 3. z- intercept c. (2,0,0) Question 2 (2 points) Find the x,y, and zintercepts for the equation below: 9x+3y6z=18 O a (2,6,-3) 0 b (3,4,4) 0 c (2,8,3) 0 d (5,8,-2) Question 3 (3 points) Q#3. Cars, vans, and minibusses have been rented to provide transportation for a company retreat. Cars hold 4 employees, vans hold 6 employees, and minibusses hold 14 employees. There are 75 employees to be transported. a)Write an equation to show x, the number of cars, y, the number of vans, and z the number of minibusses needed to transport all of the employees. (look at the example on the left) b) Ifonly1 minibus and 5 cars are available on the tat day, how many vans will be needed to transport all the employees? (see the solution to or similar problem on the left) EXAMPLE: Cars, vans, and minibusses have been rented to provide transportation for a company retreat. Cars hold 5 employees, vans hold 7 employees, and minibusses hold 14 employees. There are 72 employees to be transported. a) Write an equation to Show x, the number of cars, y, the number of vans, and z the number of minibusses needed to transport all of the employees. Solution: 553 + 7y + 142 = 72 b) If only 1 minibus and 5 cars are available on the tat day, how many vans will be needed to transport all the employees? Solution: 5(5)+7y+14(1) =72 25+7y+i4= 72 Simpi'/J 7y=72-25-'l4 7y=33 y= 4.7 5 vans will be need to trapost all the emplyees. B I IC II I m Question 4 (2 points) Referring to the Q#3. If only 2 cars and 5 vans are available on the day of a retreat, how many minibusses will be needed to transport all the employees? O a 2.6 minibusses Ob 3 minibusses O c 5 minibusses O d 2 minibusses Question 5 (2 points) Graph the linear equation in the three-dimensional space on graph paper. 4x - 2y - 8z = -8 Then upload the picture of the graph here. Hint: find the x, y , and z-intercept and plot those points on graph paper and connect the dots. BIUS'S. TC U