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\begin{tabular}{l} Use for questions 22 and 23 Darius filled up his gas tank with 24 gallons of gas. For each mile that he \\ drives, he uses 0.06 gallons of gas. \\ \( \begin{array}{l}\text { 22. Which formula represents the number of } \\ \text { gallons of gas left affer driving } n \text { miles? }\end{array} \) \\ \hline \( \begin{array}{l}\text { 23. How many gallons of gas are left in the tank } \\ \text { after driving } 240 \text { miles? }\end{array} \) \\ \( \begin{array}{l}\text { A. } a_{n}=-0.06 n+23.94 \\ \text { B. } a_{n}=-0.06 n+24 \\ \text { C. } a_{n}=-0.06 n+24.06 \\ \text { D. } a_{n}=0.06 n-24\end{array} \) \\ \hline\end{tabular}

Ask by Harrington Cervantes. in Guam
Mar 12,2025

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**Question 22:** The formula for gallons of gas left after driving \( n \) miles is \( a_n = -0.06n + 24 \). **Question 23:** After driving 240 miles, Darius has 9.6 gallons of gas left in the tank.

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The Deep Dive

To find the formula representing the number of gallons of gas left after driving \( n \) miles, we start with the total gallons Darius has, which is 24. For every mile he drives, he uses 0.06 gallons, so the formula for gallons left will be \( 24 - 0.06n \). In the choices provided, the correct formula is \( B. a_{n} = -0.06n + 24 \). Now, let's calculate how many gallons of gas are left after driving 240 miles. Using our formula \( a_{240} = -0.06(240) + 24 \), we first multiply \( 0.06 \) by \( 240 \), which gives us \( 14.4 \). Subtracting this from 24 leaves us with \( 24 - 14.4 = 9.6 \) gallons. So after driving 240 miles, Darius has 9.6 gallons of gas left in his tank!

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