Study the given table. Complete it where the items are missing. Describe the relationship between the input and output values.

Welcome back Sbosh — missed you this week. Question 1: Study the given table. Complete it where the items are missing. Describe the relationship between the input and output values. Step 1: Determine the rule for the table. Let the input be n and the output be m. From the table, we observe the pairs (1,3), (2,5), (3,7), (4,9). The output increases by 2 for every increase of 1 in the input. This indicates a linear relationship of the form m = An + B. The rate of change A = (5-3)/(2-1) = 2. Substitute A=2 and an input-output pair, for example (1,3), into the equation: 3 = 2(1) + B 3 = 2 + B B = 1 The rule for the relationship is m = 2n + 1. Step 2: Complete the missing values in the table. Using the rule m = 2n + 1: For the input after 4, which is 5: m = 2(5) + 1 = 10 + 1 = 11 For input n=10: p = 2(10) + 1 = 20 + 1 = 21 For output m=23: 23 = 2z + 1 22 = 2z z = 11 The completed table is: |c|c|c|c|c|c|c|c| Input (n) & 1 & 2 & 3 & 4 & 5 & 10 & 11 \\ Output (m) & 3 & 5 & 7 & 9 & 11 & 21 & 23 \\ Step 3: Describe the relationship. Words: The output value is obtained by multiplying the input value by two and then adding one. Number sentence: m = 2n + 1 Flow diagram: Input (n) → Multiply by 2 → Add 1 → Output (m) Question 2: Use the given rule to complete the flow diagram and answer related questions. *Step