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To rent a car for one week, a car rental company charges a $200 base price as well as $0.45 per mile. Jennifer will rent a vehicle at this company, but she has a $275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget? Choose 1 answer: (A) 166 miles (B) 167 miles (c) 168 miles (D) 169 miles

To rent a car for one week, a car rental company charges a $200 \$ 200 base price as well as $0.45 \$ 0.45 per mile. Jennifer will rent a vehicle at this company, but she has a $275 \$ 275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget?\newlineChoose 11 answer:\newline(A) 166 \mathbf{1 6 6} miles\newline(B) 167 \mathbf{1 6 7} miles\newline(C) 168 \mathbf{1 6 8} miles\newline(D) 169 \mathbf{1 6 9} miles

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Q. To rent a car for one week, a car rental company charges a $200 \$ 200 base price as well as $0.45 \$ 0.45 per mile. Jennifer will rent a vehicle at this company, but she has a $275 \$ 275 budget. Which of the following is a possible number of miles that Jennifer can drive without exceeding her budget?\newlineChoose 11 answer:\newline(A) 166 \mathbf{1 6 6} miles\newline(B) 167 \mathbf{1 6 7} miles\newline(C) 168 \mathbf{1 6 8} miles\newline(D) 169 \mathbf{1 6 9} miles
  1. Calculate Remaining Budget: Determine the remaining budget after the base price is subtracted.\newlineJennifer has a $275\$275 budget and the base price for renting the car is $200\$200.\newline$275−$200=$75\$275 - \$200 = \$75\newlineRemaining budget for miles: $75\$75
  2. Determine Maximum Miles: Calculate the maximum number of miles Jennifer can drive with the remaining budget. The cost per mile is \$\(0\).\(45\). To find out how many miles she can drive, divide the remaining budget by the cost per mile. \$\(75\) \div \$\(0\).\(45\) per mile = \(166\).\(666\)... Jennifer can drive a maximum of \(166.666\ldots\) miles with her remaining budget.
  3. Round Down to Nearest Mile: Since Jennifer cannot drive a fraction of a mile, we need to round down to the nearest whole number.\(\newline\)The possible number of miles she can drive without exceeding her budget is \(166\) miles.

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