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 for Activity 1 and Activity 2. Activity 1: a) The relationship in words is: The output value is obtained by multiplying the input value by two, and then subtracting one. b) To complete the flow diagram, we apply the rule 2x + (-1) to each input value: • For input 10: 2(10) + (-1) = 20 - 1 = 19 • For input 5: 2(5) + (-1) = 10 - 1 = 9 • For input -3: 2(-3) + (-1) = -6 - 1 = -7 • For input -2: 2(-2) + (-1) = -4 - 1 = -5 • For input -1: 2(-1) + (-1) = -2 - 1 = -3 • For input 0: 2(0) + (-1) = 0 - 1 = -1 The completed output values for the flow diagram are: Input value → Output value 10 → 19 5 → 9 -3 → -7 -2 → -5 -1 → -3 0 → -1 Activity 2: a) Using number sentences to find all the output values: • For input 3: 3 + (-2) = 1 • For input -2: -2 + (-2) = -4 • For input -1: -1 + (-2) = -3 • For input 0: 0 + (-2) = -2 • For input 1: 1 + (-2) = -1 b) The completed output values for the flow diagram are: Input (m) → Output (n) 3 → 1 -2 → -4 -1 → -3 0 → -2 1 → -1 c) The input is represented by m and the output by n. d) The formula of the relationship between m and n is: n = m + (-2) or n = m - 2 That's 2 down. 3 left today — send the next one.