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\( \begin{array}{l}\text { Find the percent change. Tell whether it is a percent increase or decrease. } \\ \text { from } 50 \text { to } 42 \\ \text { O } 16 \% \text { decrease } \\ 18 \% \text { decrease } \\ 18.6 \% \text { increase } \\ 18 \% \text { increase }\end{array} \)

Ask by Ramos Higgins. in Brazil
Mar 19,2025

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Answer

A diminuição é de 16%.

Solution

**Passo 1: Determinar a variação absoluta** Temos o valor inicial \( V_i = 50 \) e o valor final \( V_f = 42 \). A variação absoluta é: \[ \Delta V = V_f - V_i = 42 - 50 = -8 \] **Passo 2: Calcular a variação percentual** A variação percentual é dada por: \[ \text{Variação Percentual} = \frac{\Delta V}{V_i} \times 100\% \] Substituindo os valores: \[ \frac{-8}{50} \times 100\% = -16\% \] **Passo 3: Interpretar o resultado** O sinal negativo indica uma diminuição, portanto houve uma diminuição de \( 16\% \). **Resposta Final:** \( 16\% \) de diminuição.

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To calculate the percent change from 50 to 42, you can use the formula: \[ \text{Percent Change} = \frac{\text{New Value} - \text{Old Value}}{\text{Old Value}} \times 100 \] Plugging in the numbers gives: \[ \text{Percent Change} = \frac{42 - 50}{50} \times 100 = \frac{-8}{50} \times 100 = -16\% \] This indicates a 16% decrease. Setting up a quick mental math check can help you minimize errors in similar situations. Always remember that if the final amount is lower than the initial amount, you’re looking at a decrease. Conversely, if it’s higher, it’s an increase. Writing it out helps solidify your understanding! If you want to explore more about percent changes, consider diving into financial literacy resources. They often cover practical applications of percent changes in budgeting, investing, and analyzing data trends. Understanding how to interpret these can be a game changer in your everyday decisions!

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