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A patient's blood glucose is 180mg/dL and after treatment drops to 135mg/dL. What is the percentage decrease?

Mathematics

ScanSolve AI Answer

Answer

25%25\%

Step-by-step solution

3 steps

  1. Identify the initial and final blood glucose levels.

    The initial blood glucose level is 180 mg/dL180 \text{ mg/dL}.
    The final blood glucose level after treatment is 135 mg/dL135 \text{ mg/dL}.

  2. Calculate the absolute decrease in blood glucose.

    Decrease=Initial Value−Final Value\text{Decrease} = \text{Initial Value} - \text{Final Value} Decrease=180 mg/dL−135 mg/dL\text{Decrease} = 180 \text{ mg/dL} - 135 \text{ mg/dL} Decrease=45 mg/dL\text{Decrease} = 45 \text{ mg/dL}

  3. Calculate the percentage decrease.

    Percentage Decrease=DecreaseInitial Value×100%\text{Percentage Decrease} = \frac{\text{Decrease}}{\text{Initial Value}} \times 100\% Percentage Decrease=45 mg/dL180 mg/dL×100%\text{Percentage Decrease} = \frac{45 \text{ mg/dL}}{180 \text{ mg/dL}} \times 100\% Percentage Decrease=14×100%\text{Percentage Decrease} = \frac{1}{4} \times 100\% Percentage Decrease=0.25×100%\text{Percentage Decrease} = 0.25 \times 100\% Percentage Decrease=25%\text{Percentage Decrease} = 25\%

    The percentage decrease in blood glucose is:

    25%\boxed{25\%}
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