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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Answer
H₀ + 6% of H₀
Let H₀ be Jamila's height in the previous year. Her height increased by 6% since the previous year. Her current height is 154 cm.
Step 1: Express the current height in terms of the previous year's height and the percentage growth. Current height = H₀ + 6% of H₀ Current height = H₀ + (6/100) × H₀ Current height = H₀ × (1 + 0.06) Current height = H₀ × 1.06
Step 2: Substitute the given current height into the equation. 154 cm = H₀ × 1.06
Step 3: Solve for H₀. H₀ = 154 / 1.06 H₀ = 145.2830...
Step 4: Round the answer to a reasonable number of decimal places, typically two for height measurements. H₀ ≈ 145.28 cm
Jamila was 145.28 cm in the previous year.
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Let H₀ be Jamila's height in the previous year. Her height increased by 6% since the previous year.
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.