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 are the solutions to the questions: 1.2.1 Is Thabo correct? Show all the calculations that you have used in determining your answer. Step 1: Substitute the first x-value from the table (x=1) into Thabo's formula y = 5x + 10. y = 5(1) + 10 = 5 + 10 = 15 This matches the y-value in the table for x=1. Step 2: Substitute the second x-value from the table (x=2) into Thabo's formula y = 5x + 10. y = 5(2) + 10 = 10 + 10 = 20 This does not match the y-value in the table for x=2, which is 10. Step 3: Conclude whether Thabo is correct. Since the formula does not produce the correct y-value for x=2 (and other values), Thabo is incorrect. No, Thabo is incorrect. 2.1.1 Explain to Amy how to determine the output values of the flow diagram? To determine the output values, Amy needs to apply the operations in the flow diagram sequentially to each input value. First, she must add 2 to the input value. Then, she must multiply that result by 3 to get the final output value. 2.1.2 Amy wants to create a table, using the information from the flow diagram above. Help Amy by creating the table for her. Step 1: Determine the output for each input value by applying the operations: first add 2, then multiply by 3. For input x = -2: (-2 + 2) × 3 = 0 × 3 = 0 For input x = 0: (0 + 2) × 3 = 2 × 3 = 6 For input x = 3: (3 + 2) × 3 = 5 × 3 = 15 For input x = 9: (9 + 2) × 3 = 11 × 3 = 33 Step 2: Create a table with the input (x) and output (y) values. | Input (x) | Output (y) | | :-------- | :--------- | | -2 | 0 | | 0 | 6 | | 3 | 15 | | 9 | 33 | That's 2 down. 3 left today — send the next one.