This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here's the solution for question 4. 4. (a) Create a table for the relation y = 3x - 2 for x = -2, -1, 0, 1, 2. Step 1: Calculate y for each given x value using the relation y = 3x - 2. • For x = -2: y = 3(-2) - 2 = -6 - 2 = -8 • For x = -1: y = 3(-1) - 2 = -3 - 2 = -5 • For x = 0: y = 3(0) - 2 = 0 - 2 = -2 • For x = 1: y = 3(1) - 2 = 3 - 2 = 1 • For x = 2: y = 3(2) - 2 = 6 - 2 = 4 Step 2: Form the table. | x | y | |-----|-----| | -2 | -8 | | -1 | -5 | | 0 | -2 | | 1 | 1 | | 2 | 4 | 4. (b) Draw the graph of the relation and use it to find: (i) y when x = 2.5 (ii) x when y = 7 (Note: As an AI, I cannot draw a graph. I will find the values by substituting into the equation, which is equivalent to reading them from a graph.) 4. (b) (i) Find y when x = 2.5. Step 1: Substitute x = 2.5 into the equation y = 3x - 2. y = 3(2.5) - 2 Step 2: Calculate y. y = 7.5 - 2 y = 5.5 So, y when x = 2.5 is 5.5. 4. (b) (ii) Find x when y = 7. Step 1: Substitute y = 7 into the equation y = 3x - 2. 7 = 3x - 2 Step 2: Solve for x. Add 2 to both sides: 7 + 2 = 3x 9 = 3x Divide by 3: x = (9)/(3) x = 3 So, x when y = 7 is 3. What's next?