in 1980, there were 2.1 million licensed registered nurses in a country. this number increased to 3.5 million in 2012. what is the percent increase?

the percent increase is about $\square$%.
(simplify your answer. type an integer or a decimal rounded to the nearest tenth.)

Question

in 1980, there were 2.1 million licensed registered nurses in a country. this number increased to 3.5 million in 2012. what is the percent increase?

the percent increase is about $\square$%.
(simplify your answer. type an integer or a decimal rounded to the nearest tenth.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Percent Equations", "Percentage Calculations" ], "new_concepts": [ "Percent Increase" ], "current_concepts": [ "Percentage Calculations", "Percent Equations", "Percent Increase" ] } ## Identify the initial and final values Using the *Percentage Calculations* knowledge point $$ \begin{aligned} &\text{Initial Value } (V_i) = 2.1\text{ million}\ &\text{Final Value } (V_f) = 3.5\text{ million} \end{aligned} $$ ## Calculate the absolute increase Using the *Percentage Calculations* knowledge point $$ \begin{aligned} \text{Increase} &= V_f - V_i \ &= 3.5 - 2.1 \ &= 1.4\text{ million} \end{aligned} $$ ## Set up the percent increase equation Using the *Percent Equations* knowledge point $$ \begin{aligned} \text{Percent Increase} &= \frac{\text{Increase}}{\text{Initial Value}} \times 100\% \ &= \frac{1.4}{2.1} \times 100\% \end{aligned} $$ ## Simplify the fraction and calculate the percentage Using the *Percent Equations* knowledge point $$ \begin{aligned} \frac{1.4}{2.1} &= \frac{14}{21} = \frac{2}{3} \ \text{Percent Increase} &= \frac{2}{3} \times 100\% \approx 66.6667\% \end{aligned} $$ ## Round to the nearest tenth Using the *Percentage Calculations* knowledge point $$ 66.6667\% \approx 66.7\% $$ In 1980, there were 2.1 million licensed registered nurses in a country. This number increased to 3.5 million in 2012. What is the percent increase? The percent increase is about 66.7%. (Simplify your answer. Type an integer or a decimal rounded to the nearest tenth.) { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Algebra", "Percent Increase" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the initial and final values

Calculate the absolute increase

Set up the percent increase equation

Simplify the fraction and calculate the percentage

Round to the nearest tenth

Answer: