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.
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Here are the solutions for both questions. Question 4.2 Step 1: Identify the pattern in the number of cans collected. Day 1: 3 cans Day 2: 6 cans Day 3: 12 cans The number of cans collected doubles each day (3 × 2 = 6, 6 × 2 = 12). Step 2: Extend the pattern using a table to find the number of cans on Day 6. | Day | Cans | |-----|------| | 1 | 3 | | 2 | 6 | | 3 | 12 | | 4 | 12 × 2 = 24 | | 5 | 24 × 2 = 48 | | 6 | 48 × 2 = 96 | Mariam will collect 96 cans on Day 6. The final answer for 4.2 is 96 cans. Question 5.1 Step 1: Use the given equation y = x + 7 to find the value of m. From the table, when x = m, the corresponding y value is 39. Substitute these values into the equation: 39 = m + 7 Step 2: Solve for m. Subtract 7 from both sides of the equation: m = 39 - 7 m = 32 Step 3: Use the given equation y = x + 7 to find the value of n. From the table, when x = 51, the corresponding y value is n. Substitute these values into the equation: n = 51 + 7 Step 4: Solve for n. Add the numbers: n = 58 The final answer for 5.1 is m = 32, n = 58. Last free one today — make it count tomorrow, or type /upgrade for unlimited.