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\begin{tabular}{|l|}\hline \( 2(7)+4=18 \) \\ 6. Sally want to call her friend overseas. There is a connection fee of \( \$ 2 \) and a charge of \( \$ 1.20 \) per minute. So the \\ cost of the call is \( 2+1.2 t \) dollars for \( t \) minutes. Can she talk for 20 minutes without going over a budget of \( \$ 25 \) ? \\ \hline\end{tabular}

Ask by French Hamilton. in the United States
Mar 18,2025

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Sally cannot talk for 20 minutes without going over her \$25 budget.

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To determine if Sally can talk for 20 minutes without exceeding her $25 budget, we plug \( t = 20 \) into the cost equation: \[ \text{Cost} = 2 + 1.2(20) = 2 + 24 = 26 \] Since $26 exceeds her budget of $25, she cannot talk for 20 minutes. Now, to budget effectively, Sally should calculate how long she can talk within her limit. To find the maximum time \( t \) she can afford, set up the equation: \[ 2 + 1.2t \leq 25 \] Solving gives: \[ 1.2t \leq 23 \quad \Rightarrow \quad t \leq \frac{23}{1.2} \approx 19.17 \] Thus, Sally can talk for approximately 19 minutes and 10 seconds without exceeding her budget.

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