![Determine the rule of the mapping: x -> y where x = [3, 4, 5, 6, 7] and y = [8, 16, 32, 64, 128]](/_next/image?url=https%3A%2F%2Fohijasnjvprzodcmxltt.supabase.co%2Fstorage%2Fv1%2Fobject%2Fpublic%2Fwhatsapp-images%2F1784474344616-4d4f62b3026a4362.png&w=3840&q=75)
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
Step 1: Analyze the given mapping pairs. We are given the following pairs of (x, y) values: • When x=3, y=8 • When x=4, y=16 • When x=5, y=32 • When x=6, y=64 • When x=7, y=128 Step 2: Identify the relationship between x and y. Observe the y values: 8, 16, 32, 64, 128. These are all powers of 2. • 8 = 2^3 • 16 = 2^4 • 32 = 2^5 • 64 = 2^6 • 128 = 2^7 Step 3: Determine the rule of the mapping. By comparing the x values with the exponents of 2 for the corresponding y values, we can see a direct relationship: • For x=3, y=2^3 • For x=4, y=2^4 • For x=5, y=2^5 • For x=6, y=2^6 • For x=7, y=2^7 The rule of the mapping is y = 2^x. The rule of the mapping is y = 2^x. Send me the next one 📸