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NAME$\newline$$\qquad$ DATE $\qquad$ PERIOD $\qquad$ Solving Linear Equations by Graphing$\newline$Estimate Solutions by Graphing Sometimes graphing does not provide an exact solution, but only an estimate. In these cases, solve algebraically to tind the exact solution.$\newline$Example: WALKING You and your cousin decide to walk the $7$-mile trail at the state park to the ranger station. The function $d=7-3.2 t$ represents your distance $d$ from the ranger station after $t$ hours. Find the zero of this function. Describe what this value means in this context.$\newline$Make a table of values to graph the function.$\newline$\begin{tabular}{|c|c|c|c|}$\newline$\hline$t$ & $d=7-3.2 t$ & $d$ & $(t, d)$ \\$\newline$\hline $0$ & $\qquad$$0$ & $7$ & $\qquad$$1$ \\$\newline$\hline $1$ & $\qquad$$2$ & $3$.$8$ & $\qquad$$3$ \\$\newline$\hline $2$ & $\qquad$$4$ & $0$.$6$ & $\qquad$$5$ \\$\newline$\hline$\newline$\end{tabular}$\newline$The graph intersects the $t$-axis between $\qquad$$7$ and $\qquad$$8$, but closer to $\qquad$$7$. It will take you and your cousin just over two hours to reach the ranger station.$\newline$You can check your estimate by solving the equation algebraically.$\newline$Exercises$\newline$$1$. MUSIC Jessica wants to record her favorite songs to one CD. The function $\qquad$$0$ represents the recording time $\qquad$$1$ available after $\qquad$$2$ songs are recorded. Find the zero of this function. Describe what this value means in this context.$\newline$$2$. GIFT CARDS Enrique uses a gift card to buy coffee at a coffee shop. The initial value of the gift card is $\qquad$$3$. The function $\qquad$$4$ represents the amount of money still left on the gift card $\qquad$$2$ after purchasing $\qquad$$6$ cups of coffee. Find the zero of this function. Describe what this value means in this context.$\newline$Chapter $3$$\newline$$13$$\newline$Glencoe Algebra $1$