Question

um caderno te um reajuste de R$2,60 para R$2,90. qual é a taxa percentual do aumento?

Answer 1

✅Após resolver os cálculos, concluímos que a taxa percentual de aumento foi:

              $\Large\displaystyle\text{ \begin{gathered}\boxed{\boxed{\:\:\:\bf T_{\%A} = 11,53\,\%\:\:\:}}\end{gathered} }$

Sejam os dados:

     $\Large\begin{cases} P_{A} = Prec_{\!\!,}o\:antigo = R\ \:2,60\\N_{P} = Novo\:prec_{\!\!,}o = R\ \:2,90\\T_{A\%} = Taxa\:de\:aumento\end{cases}$

Para calcular a taxa de aumento devemos utilizar a seguinte fórmula:

$\Large\displaystyle\begin{gathered} \bf I\end{gathered}$             $\Large\displaystyle\text{ \begin{gathered} T_{A\%} = \bigg(\frac{N_{P}}{P_{A}}\frac{}{} - 1\bigg)\cdot100\end{gathered} }$

Substituindo os dados na equação "I", temos:

              $\Large\displaystyle\begin{gathered} T_{A\%} = \bigg(\frac{2,9}{2,6}-1\bigg)\cdot100\end{gathered}$

                        $\Large\displaystyle\begin{gathered} = (1,1153- 1)\cdot100\end{gathered}$

                        $\Large\displaystyle\begin{gathered} = 0,1153\cdot100\end{gathered}$

                        $\Large\displaystyle\begin{gathered} = 11,53\,\%\end{gathered}$

✅ Portanto, a taxa percentual de aumento foi:

              $\Large\displaystyle\begin{gathered} T_{\%A} = 11,53\,\%\end{gathered}$

$\LARGE\displaystyle\text{ \begin{gathered} \underline{\boxed{\boldsymbol{\:\:\:Bons \:estudos!!\:\:\:Boa\: sorte!!\:\:\:}}}\end{gathered} }$

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